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Finding the Fourth Proportional to 142,002.73, 195,963.76 and 78,340.53

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Solution

The fourth proportional to 142,002.73, 195,963.76 and 78,340.53 is: 108,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,002.73 : 195,963.76 = 78,340.53 : x
  2. Step 2: Convert to fraction form
    142,002.73/195,963.76 = 78,340.53/x
  3. Step 3: Cross multiply
    142,002.73x = 195,963.76 × 78,340.53
  4. Step 4: Simplify right side
    142,002.73x = 15,351,904,819.19
  5. Step 5: Solve for x
    x = 15,351,904,819.19/142,002.73
  6. Step 6: Final answer
    x = 108,109.93

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