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Finding the Fourth Proportional to 258,391.32, 387,246.78 and 138,434.40

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Solution

The fourth proportional to 258,391.32, 387,246.78 and 138,434.40 is: 207,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,391.32 : 387,246.78 = 138,434.40 : x
  2. Step 2: Convert to fraction form
    258,391.32/387,246.78 = 138,434.40/x
  3. Step 3: Cross multiply
    258,391.32x = 387,246.78 × 138,434.40
  4. Step 4: Simplify right side
    258,391.32x = 53,608,275,641.23
  5. Step 5: Solve for x
    x = 53,608,275,641.23/258,391.32
  6. Step 6: Final answer
    x = 207,469.34

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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.