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Finding the Fourth Proportional to 160,049.31, 239,882.19 and 74,544.90

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Solution

The fourth proportional to 160,049.31, 239,882.19 and 74,544.90 is: 111,728.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,049.31 : 239,882.19 = 74,544.90 : x
  2. Step 2: Convert to fraction form
    160,049.31/239,882.19 = 74,544.90/x
  3. Step 3: Cross multiply
    160,049.31x = 239,882.19 × 74,544.90
  4. Step 4: Simplify right side
    160,049.31x = 17,881,993,865.33
  5. Step 5: Solve for x
    x = 17,881,993,865.33/160,049.31
  6. Step 6: Final answer
    x = 111,728.03

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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.