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Finding the Fourth Proportional to 259,543.92, 389,534.76 and 101,883.12

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Solution

The fourth proportional to 259,543.92, 389,534.76 and 101,883.12 is: 152,910.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,543.92 : 389,534.76 = 101,883.12 : x
  2. Step 2: Convert to fraction form
    259,543.92/389,534.76 = 101,883.12/x
  3. Step 3: Cross multiply
    259,543.92x = 389,534.76 × 101,883.12
  4. Step 4: Simplify right side
    259,543.92x = 39,687,016,697.25
  5. Step 5: Solve for x
    x = 39,687,016,697.25/259,543.92
  6. Step 6: Final answer
    x = 152,910.60

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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.