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Finding the Fourth Proportional to 233,537.52, 350,306.16 and 75,765.96

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Solution

The fourth proportional to 233,537.52, 350,306.16 and 75,765.96 is: 113,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,537.52 : 350,306.16 = 75,765.96 : x
  2. Step 2: Convert to fraction form
    233,537.52/350,306.16 = 75,765.96/x
  3. Step 3: Cross multiply
    233,537.52x = 350,306.16 × 75,765.96
  4. Step 4: Simplify right side
    233,537.52x = 26,541,282,506.31
  5. Step 5: Solve for x
    x = 26,541,282,506.31/233,537.52
  6. Step 6: Final answer
    x = 113,648.90

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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.