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Finding the Fourth Proportional to 266,691.20, 399,064.80 and 166,899.20

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Solution

The fourth proportional to 266,691.20, 399,064.80 and 166,899.20 is: 249,740.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,691.20 : 399,064.80 = 166,899.20 : x
  2. Step 2: Convert to fraction form
    266,691.20/399,064.80 = 166,899.20/x
  3. Step 3: Cross multiply
    266,691.20x = 399,064.80 × 166,899.20
  4. Step 4: Simplify right side
    266,691.20x = 66,603,595,868.16
  5. Step 5: Solve for x
    x = 66,603,595,868.16/266,691.20
  6. Step 6: Final answer
    x = 249,740.51

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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.