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Finding the Fourth Proportional to 102,702.52, 141,730.14 and 57,382.12

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Solution

The fourth proportional to 102,702.52, 141,730.14 and 57,382.12 is: 79,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,702.52 : 141,730.14 = 57,382.12 : x
  2. Step 2: Convert to fraction form
    102,702.52/141,730.14 = 57,382.12/x
  3. Step 3: Cross multiply
    102,702.52x = 141,730.14 × 57,382.12
  4. Step 4: Simplify right side
    102,702.52x = 8,132,775,901.10
  5. Step 5: Solve for x
    x = 8,132,775,901.10/102,702.52
  6. Step 6: Final answer
    x = 79,187.70

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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.