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Finding the Fourth Proportional to 275,822.64, 413,348.22 and 149,189.40

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Solution

The fourth proportional to 275,822.64, 413,348.22 and 149,189.40 is: 223,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,822.64 : 413,348.22 = 149,189.40 : x
  2. Step 2: Convert to fraction form
    275,822.64/413,348.22 = 149,189.40/x
  3. Step 3: Cross multiply
    275,822.64x = 413,348.22 × 149,189.40
  4. Step 4: Simplify right side
    275,822.64x = 61,667,172,932.87
  5. Step 5: Solve for x
    x = 61,667,172,932.87/275,822.64
  6. Step 6: Final answer
    x = 223,575.46

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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.