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Finding the Fourth Proportional to 133,789, 200,781.24 and 107,807.44

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Solution

The fourth proportional to 133,789, 200,781.24 and 107,807.44 is: 161,789.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,789 : 200,781.24 = 107,807.44 : x
  2. Step 2: Convert to fraction form
    133,789/200,781.24 = 107,807.44/x
  3. Step 3: Cross multiply
    133,789x = 200,781.24 × 107,807.44
  4. Step 4: Simplify right side
    133,789x = 21,645,711,484.43
  5. Step 5: Solve for x
    x = 21,645,711,484.43/133,789
  6. Step 6: Final answer
    x = 161,789.92

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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.