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Finding the Fourth Proportional to 262,146.88, 361,767.84 and 142,914.88

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Solution

The fourth proportional to 262,146.88, 361,767.84 and 142,914.88 is: 197,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,146.88 : 361,767.84 = 142,914.88 : x
  2. Step 2: Convert to fraction form
    262,146.88/361,767.84 = 142,914.88/x
  3. Step 3: Cross multiply
    262,146.88x = 361,767.84 × 142,914.88
  4. Step 4: Simplify right side
    262,146.88x = 51,702,007,441.46
  5. Step 5: Solve for x
    x = 51,702,007,441.46/262,146.88
  6. Step 6: Final answer
    x = 197,225.34

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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.