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Finding the Fourth Proportional to 103,092.43, 142,265.24 and 60,069.24

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Solution

The fourth proportional to 103,092.43, 142,265.24 and 60,069.24 is: 82,894.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,092.43 : 142,265.24 = 60,069.24 : x
  2. Step 2: Convert to fraction form
    103,092.43/142,265.24 = 60,069.24/x
  3. Step 3: Cross multiply
    103,092.43x = 142,265.24 × 60,069.24
  4. Step 4: Simplify right side
    103,092.43x = 8,545,764,845.22
  5. Step 5: Solve for x
    x = 8,545,764,845.22/103,092.43
  6. Step 6: Final answer
    x = 82,894.20

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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.