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Finding the Fourth Proportional to 151,517.52, 209,090.31 and 83,532.90

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Solution

The fourth proportional to 151,517.52, 209,090.31 and 83,532.90 is: 115,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,517.52 : 209,090.31 = 83,532.90 : x
  2. Step 2: Convert to fraction form
    151,517.52/209,090.31 = 83,532.90/x
  3. Step 3: Cross multiply
    151,517.52x = 209,090.31 × 83,532.90
  4. Step 4: Simplify right side
    151,517.52x = 17,465,919,956.20
  5. Step 5: Solve for x
    x = 17,465,919,956.20/151,517.52
  6. Step 6: Final answer
    x = 115,273.27

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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.