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Finding the Fourth Proportional to 146,589.38, 202,298.31 and 86,159.15

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Solution

The fourth proportional to 146,589.38, 202,298.31 and 86,159.15 is: 118,902.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,589.38 : 202,298.31 = 86,159.15 : x
  2. Step 2: Convert to fraction form
    146,589.38/202,298.31 = 86,159.15/x
  3. Step 3: Cross multiply
    146,589.38x = 202,298.31 × 86,159.15
  4. Step 4: Simplify right side
    146,589.38x = 17,429,850,436.04
  5. Step 5: Solve for x
    x = 17,429,850,436.04/146,589.38
  6. Step 6: Final answer
    x = 118,902.55

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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.