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Finding the Fourth Proportional to 102,700.65, 141,702.61 and 59,654.56

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Solution

The fourth proportional to 102,700.65, 141,702.61 and 59,654.56 is: 82,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,700.65 : 141,702.61 = 59,654.56 : x
  2. Step 2: Convert to fraction form
    102,700.65/141,702.61 = 59,654.56/x
  3. Step 3: Cross multiply
    102,700.65x = 141,702.61 × 59,654.56
  4. Step 4: Simplify right side
    102,700.65x = 8,453,206,850.40
  5. Step 5: Solve for x
    x = 8,453,206,850.40/102,700.65
  6. Step 6: Final answer
    x = 82,309.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.