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Finding the Fourth Proportional to 129,781.80, 194,283.90 and 77,164.20

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Solution

The fourth proportional to 129,781.80, 194,283.90 and 77,164.20 is: 115,515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,781.80 : 194,283.90 = 77,164.20 : x
  2. Step 2: Convert to fraction form
    129,781.80/194,283.90 = 77,164.20/x
  3. Step 3: Cross multiply
    129,781.80x = 194,283.90 × 77,164.20
  4. Step 4: Simplify right side
    129,781.80x = 14,991,761,716.38
  5. Step 5: Solve for x
    x = 14,991,761,716.38/129,781.80
  6. Step 6: Final answer
    x = 115,515.13

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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.