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Finding the Fourth Proportional to 137,960.25, 206,767.25 and 58,981.65

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Solution

The fourth proportional to 137,960.25, 206,767.25 and 58,981.65 is: 88,398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,960.25 : 206,767.25 = 58,981.65 : x
  2. Step 2: Convert to fraction form
    137,960.25/206,767.25 = 58,981.65/x
  3. Step 3: Cross multiply
    137,960.25x = 206,767.25 × 58,981.65
  4. Step 4: Simplify right side
    137,960.25x = 12,195,473,276.05
  5. Step 5: Solve for x
    x = 12,195,473,276.05/137,960.25
  6. Step 6: Final answer
    x = 88,398.46

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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.