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Finding the Fourth Proportional to 267,816.39, 401,442.14 and 87,854.82

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Solution

The fourth proportional to 267,816.39, 401,442.14 and 87,854.82 is: 131,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,816.39 : 401,442.14 = 87,854.82 : x
  2. Step 2: Convert to fraction form
    267,816.39/401,442.14 = 87,854.82/x
  3. Step 3: Cross multiply
    267,816.39x = 401,442.14 × 87,854.82
  4. Step 4: Simplify right side
    267,816.39x = 35,268,627,169.75
  5. Step 5: Solve for x
    x = 35,268,627,169.75/267,816.39
  6. Step 6: Final answer
    x = 131,689.58

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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.