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Finding the Fourth Proportional to 262,000.76, 361,561.08 and 142,768.76

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Solution

The fourth proportional to 262,000.76, 361,561.08 and 142,768.76 is: 197,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,000.76 : 361,561.08 = 142,768.76 : x
  2. Step 2: Convert to fraction form
    262,000.76/361,561.08 = 142,768.76/x
  3. Step 3: Cross multiply
    262,000.76x = 361,561.08 × 142,768.76
  4. Step 4: Simplify right side
    262,000.76x = 51,619,627,055.86
  5. Step 5: Solve for x
    x = 51,619,627,055.86/262,000.76
  6. Step 6: Final answer
    x = 197,020.91

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.