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Finding the Fourth Proportional to 259,695.26, 389,593.38 and 99,759.50

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Solution

The fourth proportional to 259,695.26, 389,593.38 and 99,759.50 is: 149,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,695.26 : 389,593.38 = 99,759.50 : x
  2. Step 2: Convert to fraction form
    259,695.26/389,593.38 = 99,759.50/x
  3. Step 3: Cross multiply
    259,695.26x = 389,593.38 × 99,759.50
  4. Step 4: Simplify right side
    259,695.26x = 38,865,640,792.11
  5. Step 5: Solve for x
    x = 38,865,640,792.11/259,695.26
  6. Step 6: Final answer
    x = 149,658.65

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