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Finding the Fourth Proportional to 142,005.76, 195,966.72 and 78,344

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Solution

The fourth proportional to 142,005.76, 195,966.72 and 78,344 is: 108,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,005.76 : 195,966.72 = 78,344 : x
  2. Step 2: Convert to fraction form
    142,005.76/195,966.72 = 78,344/x
  3. Step 3: Cross multiply
    142,005.76x = 195,966.72 × 78,344
  4. Step 4: Simplify right side
    142,005.76x = 15,352,816,711.68
  5. Step 5: Solve for x
    x = 15,352,816,711.68/142,005.76
  6. Step 6: Final answer
    x = 108,114.04

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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.