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Finding the Fourth Proportional to 133,781.57, 200,546.80 and 44,972.96

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Solution

The fourth proportional to 133,781.57, 200,546.80 and 44,972.96 is: 67,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,781.57 : 200,546.80 = 44,972.96 : x
  2. Step 2: Convert to fraction form
    133,781.57/200,546.80 = 44,972.96/x
  3. Step 3: Cross multiply
    133,781.57x = 200,546.80 × 44,972.96
  4. Step 4: Simplify right side
    133,781.57x = 9,019,183,603.46
  5. Step 5: Solve for x
    x = 9,019,183,603.46/133,781.57
  6. Step 6: Final answer
    x = 67,417.24

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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.