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Finding the Fourth Proportional to 137,432.76, 206,097.30 and 58,497.72

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Solution

The fourth proportional to 137,432.76, 206,097.30 and 58,497.72 is: 87,724.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,432.76 : 206,097.30 = 58,497.72 : x
  2. Step 2: Convert to fraction form
    137,432.76/206,097.30 = 58,497.72/x
  3. Step 3: Cross multiply
    137,432.76x = 206,097.30 × 58,497.72
  4. Step 4: Simplify right side
    137,432.76x = 12,056,222,148.16
  5. Step 5: Solve for x
    x = 12,056,222,148.16/137,432.76
  6. Step 6: Final answer
    x = 87,724.51

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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.