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Finding the Fourth Proportional to 205,773.56, 284,027.28 and 119,752.64

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Solution

The fourth proportional to 205,773.56, 284,027.28 and 119,752.64 is: 165,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,773.56 : 284,027.28 = 119,752.64 : x
  2. Step 2: Convert to fraction form
    205,773.56/284,027.28 = 119,752.64/x
  3. Step 3: Cross multiply
    205,773.56x = 284,027.28 × 119,752.64
  4. Step 4: Simplify right side
    205,773.56x = 34,013,016,612.02
  5. Step 5: Solve for x
    x = 34,013,016,612.02/205,773.56
  6. Step 6: Final answer
    x = 165,293.43

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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.