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Finding the Fourth Proportional to 95,874.42, 144,329.46 and 86,229.78

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Solution

The fourth proportional to 95,874.42, 144,329.46 and 86,229.78 is: 129,810.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,874.42 : 144,329.46 = 86,229.78 : x
  2. Step 2: Convert to fraction form
    95,874.42/144,329.46 = 86,229.78/x
  3. Step 3: Cross multiply
    95,874.42x = 144,329.46 × 86,229.78
  4. Step 4: Simplify right side
    95,874.42x = 12,445,497,583.32
  5. Step 5: Solve for x
    x = 12,445,497,583.32/95,874.42
  6. Step 6: Final answer
    x = 129,810.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.