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Finding the Fourth Proportional to 95,086.86, 142,702.14 and 65,029.28

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Solution

The fourth proportional to 95,086.86, 142,702.14 and 65,029.28 is: 97,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,086.86 : 142,702.14 = 65,029.28 : x
  2. Step 2: Convert to fraction form
    95,086.86/142,702.14 = 65,029.28/x
  3. Step 3: Cross multiply
    95,086.86x = 142,702.14 × 65,029.28
  4. Step 4: Simplify right side
    95,086.86x = 9,279,817,418.66
  5. Step 5: Solve for x
    x = 9,279,817,418.66/95,086.86
  6. Step 6: Final answer
    x = 97,593.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.