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Finding the Fourth Proportional to 159,884.97, 239,686.31 and 65,194.35

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Solution

The fourth proportional to 159,884.97, 239,686.31 and 65,194.35 is: 97,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,884.97 : 239,686.31 = 65,194.35 : x
  2. Step 2: Convert to fraction form
    159,884.97/239,686.31 = 65,194.35/x
  3. Step 3: Cross multiply
    159,884.97x = 239,686.31 × 65,194.35
  4. Step 4: Simplify right side
    159,884.97x = 15,626,193,347.33
  5. Step 5: Solve for x
    x = 15,626,193,347.33/159,884.97
  6. Step 6: Final answer
    x = 97,733.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.