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Finding the Fourth Proportional to 206,063.68, 284,324.16 and 121,149.76

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Solution

The fourth proportional to 206,063.68, 284,324.16 and 121,149.76 is: 167,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,063.68 : 284,324.16 = 121,149.76 : x
  2. Step 2: Convert to fraction form
    206,063.68/284,324.16 = 121,149.76/x
  3. Step 3: Cross multiply
    206,063.68x = 284,324.16 × 121,149.76
  4. Step 4: Simplify right side
    206,063.68x = 34,445,803,746.20
  5. Step 5: Solve for x
    x = 34,445,803,746.20/206,063.68
  6. Step 6: Final answer
    x = 167,160.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.