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Finding the Fourth Proportional to 266,482.80, 399,724.20 and 76,942.80

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Solution

The fourth proportional to 266,482.80, 399,724.20 and 76,942.80 is: 115,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,482.80 : 399,724.20 = 76,942.80 : x
  2. Step 2: Convert to fraction form
    266,482.80/399,724.20 = 76,942.80/x
  3. Step 3: Cross multiply
    266,482.80x = 399,724.20 × 76,942.80
  4. Step 4: Simplify right side
    266,482.80x = 30,755,899,175.76
  5. Step 5: Solve for x
    x = 30,755,899,175.76/266,482.80
  6. Step 6: Final answer
    x = 115,414.20

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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.