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Finding the Fourth Proportional to 137,531.66, 206,368.56 and 58,624.70

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Solution

The fourth proportional to 137,531.66, 206,368.56 and 58,624.70 is: 87,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,531.66 : 206,368.56 = 58,624.70 : x
  2. Step 2: Convert to fraction form
    137,531.66/206,368.56 = 58,624.70/x
  3. Step 3: Cross multiply
    137,531.66x = 206,368.56 × 58,624.70
  4. Step 4: Simplify right side
    137,531.66x = 12,098,293,887.59
  5. Step 5: Solve for x
    x = 12,098,293,887.59/137,531.66
  6. Step 6: Final answer
    x = 87,967.34

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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.