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Finding the Fourth Proportional to 206,423.70, 284,841.92 and 115,761.00

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Solution

The fourth proportional to 206,423.70, 284,841.92 and 115,761.00 is: 159,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,423.70 : 284,841.92 = 115,761.00 : x
  2. Step 2: Convert to fraction form
    206,423.70/284,841.92 = 115,761.00/x
  3. Step 3: Cross multiply
    206,423.70x = 284,841.92 × 115,761.00
  4. Step 4: Simplify right side
    206,423.70x = 32,973,586,502.63
  5. Step 5: Solve for x
    x = 32,973,586,502.63/206,423.70
  6. Step 6: Final answer
    x = 159,737.41

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Why These Related Problems?

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