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Finding the Fourth Proportional to 233,744.46, 350,394.72 and 75,862.50

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Solution

The fourth proportional to 233,744.46, 350,394.72 and 75,862.50 is: 113,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,744.46 : 350,394.72 = 75,862.50 : x
  2. Step 2: Convert to fraction form
    233,744.46/350,394.72 = 75,862.50/x
  3. Step 3: Cross multiply
    233,744.46x = 350,394.72 × 75,862.50
  4. Step 4: Simplify right side
    233,744.46x = 26,581,819,446.00
  5. Step 5: Solve for x
    x = 26,581,819,446.00/233,744.46
  6. Step 6: Final answer
    x = 113,721.71

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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.