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Finding the Fourth Proportional to 267,614.46, 401,436.81 and 117,924.66

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Solution

The fourth proportional to 267,614.46, 401,436.81 and 117,924.66 is: 176,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,614.46 : 401,436.81 = 117,924.66 : x
  2. Step 2: Convert to fraction form
    267,614.46/401,436.81 = 117,924.66/x
  3. Step 3: Cross multiply
    267,614.46x = 401,436.81 × 117,924.66
  4. Step 4: Simplify right side
    267,614.46x = 47,339,299,330.73
  5. Step 5: Solve for x
    x = 47,339,299,330.73/267,614.46
  6. Step 6: Final answer
    x = 176,893.65

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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.