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Finding the Fourth Proportional to 133,767.30, 200,480.85 and 54,792.30

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Solution

The fourth proportional to 133,767.30, 200,480.85 and 54,792.30 is: 82,118.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,767.30 : 200,480.85 = 54,792.30 : x
  2. Step 2: Convert to fraction form
    133,767.30/200,480.85 = 54,792.30/x
  3. Step 3: Cross multiply
    133,767.30x = 200,480.85 × 54,792.30
  4. Step 4: Simplify right side
    133,767.30x = 10,984,806,877.46
  5. Step 5: Solve for x
    x = 10,984,806,877.46/133,767.30
  6. Step 6: Final answer
    x = 82,118.78

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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.