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Finding the Fourth Proportional to 133,677.14, 200,532.11 and 49,422.96

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Solution

The fourth proportional to 133,677.14, 200,532.11 and 49,422.96 is: 74,140.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,677.14 : 200,532.11 = 49,422.96 : x
  2. Step 2: Convert to fraction form
    133,677.14/200,532.11 = 49,422.96/x
  3. Step 3: Cross multiply
    133,677.14x = 200,532.11 × 49,422.96
  4. Step 4: Simplify right side
    133,677.14x = 9,910,890,204.13
  5. Step 5: Solve for x
    x = 9,910,890,204.13/133,677.14
  6. Step 6: Final answer
    x = 74,140.50

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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.