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Finding the Fourth Proportional to 137,626.70, 206,569.65 and 85,138.70

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Solution

The fourth proportional to 137,626.70, 206,569.65 and 85,138.70 is: 127,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,626.70 : 206,569.65 = 85,138.70 : x
  2. Step 2: Convert to fraction form
    137,626.70/206,569.65 = 85,138.70/x
  3. Step 3: Cross multiply
    137,626.70x = 206,569.65 × 85,138.70
  4. Step 4: Simplify right side
    137,626.70x = 17,587,071,460.46
  5. Step 5: Solve for x
    x = 17,587,071,460.46/137,626.70
  6. Step 6: Final answer
    x = 127,788.22

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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.