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Finding the Fourth Proportional to 137,512.08, 206,220.33 and 65,456.10

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Solution

The fourth proportional to 137,512.08, 206,220.33 and 65,456.10 is: 98,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,512.08 : 206,220.33 = 65,456.10 : x
  2. Step 2: Convert to fraction form
    137,512.08/206,220.33 = 65,456.10/x
  3. Step 3: Cross multiply
    137,512.08x = 206,220.33 × 65,456.10
  4. Step 4: Simplify right side
    137,512.08x = 13,498,378,542.51
  5. Step 5: Solve for x
    x = 13,498,378,542.51/137,512.08
  6. Step 6: Final answer
    x = 98,161.40

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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.