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Finding the Fourth Proportional to 142,397.71, 196,514.99 and 78,735.50

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Solution

The fourth proportional to 142,397.71, 196,514.99 and 78,735.50 is: 108,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,397.71 : 196,514.99 = 78,735.50 : x
  2. Step 2: Convert to fraction form
    142,397.71/196,514.99 = 78,735.50/x
  3. Step 3: Cross multiply
    142,397.71x = 196,514.99 × 78,735.50
  4. Step 4: Simplify right side
    142,397.71x = 15,472,705,995.15
  5. Step 5: Solve for x
    x = 15,472,705,995.15/142,397.71
  6. Step 6: Final answer
    x = 108,658.39

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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.