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Finding the Fourth Proportional to 267,105.78, 368,591.85 and 146,223.90

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Solution

The fourth proportional to 267,105.78, 368,591.85 and 146,223.90 is: 201,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,105.78 : 368,591.85 = 146,223.90 : x
  2. Step 2: Convert to fraction form
    267,105.78/368,591.85 = 146,223.90/x
  3. Step 3: Cross multiply
    267,105.78x = 368,591.85 × 146,223.90
  4. Step 4: Simplify right side
    267,105.78x = 53,896,937,815.22
  5. Step 5: Solve for x
    x = 53,896,937,815.22/267,105.78
  6. Step 6: Final answer
    x = 201,781.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.