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Finding the Fourth Proportional to 135,702.72, 187,292.17 and 75,292.80

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Solution

The fourth proportional to 135,702.72, 187,292.17 and 75,292.80 is: 103,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,702.72 : 187,292.17 = 75,292.80 : x
  2. Step 2: Convert to fraction form
    135,702.72/187,292.17 = 75,292.80/x
  3. Step 3: Cross multiply
    135,702.72x = 187,292.17 × 75,292.80
  4. Step 4: Simplify right side
    135,702.72x = 14,101,751,897.38
  5. Step 5: Solve for x
    x = 14,101,751,897.38/135,702.72
  6. Step 6: Final answer
    x = 103,916.50

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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.