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Finding the Fourth Proportional to 154,912.50, 232,354.17 and 49,732.38

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Solution

The fourth proportional to 154,912.50, 232,354.17 and 49,732.38 is: 74,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,912.50 : 232,354.17 = 49,732.38 : x
  2. Step 2: Convert to fraction form
    154,912.50/232,354.17 = 49,732.38/x
  3. Step 3: Cross multiply
    154,912.50x = 232,354.17 × 49,732.38
  4. Step 4: Simplify right side
    154,912.50x = 11,555,525,877.02
  5. Step 5: Solve for x
    x = 11,555,525,877.02/154,912.50
  6. Step 6: Final answer
    x = 74,593.89

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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.