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Finding the Fourth Proportional to 267,546.93, 401,387.21 and 188,814.93

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Solution

The fourth proportional to 267,546.93, 401,387.21 and 188,814.93 is: 283,269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,546.93 : 401,387.21 = 188,814.93 : x
  2. Step 2: Convert to fraction form
    267,546.93/401,387.21 = 188,814.93/x
  3. Step 3: Cross multiply
    267,546.93x = 401,387.21 × 188,814.93
  4. Step 4: Simplify right side
    267,546.93x = 75,787,897,959.05
  5. Step 5: Solve for x
    x = 75,787,897,959.05/267,546.93
  6. Step 6: Final answer
    x = 283,269.55

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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.