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Finding the Fourth Proportional to 142,437.32, 196,555.50 and 77,893.71

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Solution

The fourth proportional to 142,437.32, 196,555.50 and 77,893.71 is: 107,488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,437.32 : 196,555.50 = 77,893.71 : x
  2. Step 2: Convert to fraction form
    142,437.32/196,555.50 = 77,893.71/x
  3. Step 3: Cross multiply
    142,437.32x = 196,555.50 × 77,893.71
  4. Step 4: Simplify right side
    142,437.32x = 15,310,437,115.91
  5. Step 5: Solve for x
    x = 15,310,437,115.91/142,437.32
  6. Step 6: Final answer
    x = 107,488.95

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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.