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Finding the Fourth Proportional to 142,339.14, 196,432.14 and 77,811.92

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Solution

The fourth proportional to 142,339.14, 196,432.14 and 77,811.92 is: 107,382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,339.14 : 196,432.14 = 77,811.92 : x
  2. Step 2: Convert to fraction form
    142,339.14/196,432.14 = 77,811.92/x
  3. Step 3: Cross multiply
    142,339.14x = 196,432.14 × 77,811.92
  4. Step 4: Simplify right side
    142,339.14x = 15,284,761,963.11
  5. Step 5: Solve for x
    x = 15,284,761,963.11/142,339.14
  6. Step 6: Final answer
    x = 107,382.71

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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.