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Finding the Fourth Proportional to 95,358.88, 142,396.16 and 77,862.88

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Solution

The fourth proportional to 95,358.88, 142,396.16 and 77,862.88 is: 116,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,358.88 : 142,396.16 = 77,862.88 : x
  2. Step 2: Convert to fraction form
    95,358.88/142,396.16 = 77,862.88/x
  3. Step 3: Cross multiply
    95,358.88x = 142,396.16 × 77,862.88
  4. Step 4: Simplify right side
    95,358.88x = 11,087,375,118.54
  5. Step 5: Solve for x
    x = 11,087,375,118.54/95,358.88
  6. Step 6: Final answer
    x = 116,269.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.