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Finding the Fourth Proportional to 259,265.90, 388,743.32 and 101,306.18

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Solution

The fourth proportional to 259,265.90, 388,743.32 and 101,306.18 is: 151,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,265.90 : 388,743.32 = 101,306.18 : x
  2. Step 2: Convert to fraction form
    259,265.90/388,743.32 = 101,306.18/x
  3. Step 3: Cross multiply
    259,265.90x = 388,743.32 × 101,306.18
  4. Step 4: Simplify right side
    259,265.90x = 39,382,100,749.72
  5. Step 5: Solve for x
    x = 39,382,100,749.72/259,265.90
  6. Step 6: Final answer
    x = 151,898.50

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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.