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Finding the Fourth Proportional to 142,444.71, 196,572.54 and 78,780.87

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Solution

The fourth proportional to 142,444.71, 196,572.54 and 78,780.87 is: 108,716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,444.71 : 196,572.54 = 78,780.87 : x
  2. Step 2: Convert to fraction form
    142,444.71/196,572.54 = 78,780.87/x
  3. Step 3: Cross multiply
    142,444.71x = 196,572.54 × 78,780.87
  4. Step 4: Simplify right side
    142,444.71x = 15,486,155,719.31
  5. Step 5: Solve for x
    x = 15,486,155,719.31/142,444.71
  6. Step 6: Final answer
    x = 108,716.96

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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.