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Finding the Fourth Proportional to 142,382.68, 196,470.78 and 78,711.64

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Solution

The fourth proportional to 142,382.68, 196,470.78 and 78,711.64 is: 108,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,382.68 : 196,470.78 = 78,711.64 : x
  2. Step 2: Convert to fraction form
    142,382.68/196,470.78 = 78,711.64/x
  3. Step 3: Cross multiply
    142,382.68x = 196,470.78 × 78,711.64
  4. Step 4: Simplify right side
    142,382.68x = 15,464,537,305.88
  5. Step 5: Solve for x
    x = 15,464,537,305.88/142,382.68
  6. Step 6: Final answer
    x = 108,612.49

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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.