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Finding the Fourth Proportional to 233,639.20, 350,545.20 and 75,872.80

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Solution

The fourth proportional to 233,639.20, 350,545.20 and 75,872.80 is: 113,837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,639.20 : 350,545.20 = 75,872.80 : x
  2. Step 2: Convert to fraction form
    233,639.20/350,545.20 = 75,872.80/x
  3. Step 3: Cross multiply
    233,639.20x = 350,545.20 × 75,872.80
  4. Step 4: Simplify right side
    233,639.20x = 26,596,845,850.56
  5. Step 5: Solve for x
    x = 26,596,845,850.56/233,639.20
  6. Step 6: Final answer
    x = 113,837.26

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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.