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Finding the Fourth Proportional to 154,493.97, 231,773.49 and 53,301.21

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Solution

The fourth proportional to 154,493.97, 231,773.49 and 53,301.21 is: 79,963.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,493.97 : 231,773.49 = 53,301.21 : x
  2. Step 2: Convert to fraction form
    154,493.97/231,773.49 = 53,301.21/x
  3. Step 3: Cross multiply
    154,493.97x = 231,773.49 × 53,301.21
  4. Step 4: Simplify right side
    154,493.97x = 12,353,807,462.92
  5. Step 5: Solve for x
    x = 12,353,807,462.92/154,493.97
  6. Step 6: Final answer
    x = 79,963.04

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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.