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Finding the Fourth Proportional to 142,387.72, 196,480.02 and 78,715.24

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Solution

The fourth proportional to 142,387.72, 196,480.02 and 78,715.24 is: 108,618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,387.72 : 196,480.02 = 78,715.24 : x
  2. Step 2: Convert to fraction form
    142,387.72/196,480.02 = 78,715.24/x
  3. Step 3: Cross multiply
    142,387.72x = 196,480.02 × 78,715.24
  4. Step 4: Simplify right side
    142,387.72x = 15,465,971,929.50
  5. Step 5: Solve for x
    x = 15,465,971,929.50/142,387.72
  6. Step 6: Final answer
    x = 108,618.72

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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.