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Finding the Fourth Proportional to 133,693.80, 200,654.10 and 54,864.60

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Solution

The fourth proportional to 133,693.80, 200,654.10 and 54,864.60 is: 82,343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,693.80 : 200,654.10 = 54,864.60 : x
  2. Step 2: Convert to fraction form
    133,693.80/200,654.10 = 54,864.60/x
  3. Step 3: Cross multiply
    133,693.80x = 200,654.10 × 54,864.60
  4. Step 4: Simplify right side
    133,693.80x = 11,008,806,934.86
  5. Step 5: Solve for x
    x = 11,008,806,934.86/133,693.80
  6. Step 6: Final answer
    x = 82,343.44

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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.