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Finding the Fourth Proportional to 267,221.15, 400,844.15 and 148,803.61

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Solution

The fourth proportional to 267,221.15, 400,844.15 and 148,803.61 is: 223,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,221.15 : 400,844.15 = 148,803.61 : x
  2. Step 2: Convert to fraction form
    267,221.15/400,844.15 = 148,803.61/x
  3. Step 3: Cross multiply
    267,221.15x = 400,844.15 × 148,803.61
  4. Step 4: Simplify right side
    267,221.15x = 59,647,056,567.38
  5. Step 5: Solve for x
    x = 59,647,056,567.38/267,221.15
  6. Step 6: Final answer
    x = 223,212.33

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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.