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Finding the Fourth Proportional to 262,882.86, 362,778.51 and 142,024.07

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Solution

The fourth proportional to 262,882.86, 362,778.51 and 142,024.07 is: 195,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,882.86 : 362,778.51 = 142,024.07 : x
  2. Step 2: Convert to fraction form
    262,882.86/362,778.51 = 142,024.07/x
  3. Step 3: Cross multiply
    262,882.86x = 362,778.51 × 142,024.07
  4. Step 4: Simplify right side
    262,882.86x = 51,523,280,498.74
  5. Step 5: Solve for x
    x = 51,523,280,498.74/262,882.86
  6. Step 6: Final answer
    x = 195,993.30

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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.