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Finding the Fourth Proportional to 146,825.52, 202,584.51 and 86,398.80

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Solution

The fourth proportional to 146,825.52, 202,584.51 and 86,398.80 is: 119,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,825.52 : 202,584.51 = 86,398.80 : x
  2. Step 2: Convert to fraction form
    146,825.52/202,584.51 = 86,398.80/x
  3. Step 3: Cross multiply
    146,825.52x = 202,584.51 × 86,398.80
  4. Step 4: Simplify right side
    146,825.52x = 17,503,058,562.59
  5. Step 5: Solve for x
    x = 17,503,058,562.59/146,825.52
  6. Step 6: Final answer
    x = 119,209.92

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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.