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Finding the Fourth Proportional to 146,584.38, 202,291.41 and 86,154.15

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Solution

The fourth proportional to 146,584.38, 202,291.41 and 86,154.15 is: 118,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,584.38 : 202,291.41 = 86,154.15 : x
  2. Step 2: Convert to fraction form
    146,584.38/202,291.41 = 86,154.15/x
  3. Step 3: Cross multiply
    146,584.38x = 202,291.41 × 86,154.15
  4. Step 4: Simplify right side
    146,584.38x = 17,428,244,480.85
  5. Step 5: Solve for x
    x = 17,428,244,480.85/146,584.38
  6. Step 6: Final answer
    x = 118,895.65

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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.