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Finding the Fourth Proportional to 306,691.96, 460,081.14 and 106,983.22

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Solution

The fourth proportional to 306,691.96, 460,081.14 and 106,983.22 is: 160,489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,691.96 : 460,081.14 = 106,983.22 : x
  2. Step 2: Convert to fraction form
    306,691.96/460,081.14 = 106,983.22/x
  3. Step 3: Cross multiply
    306,691.96x = 460,081.14 × 106,983.22
  4. Step 4: Simplify right side
    306,691.96x = 49,220,961,818.47
  5. Step 5: Solve for x
    x = 49,220,961,818.47/306,691.96
  6. Step 6: Final answer
    x = 160,489.90

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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.