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Finding the Fourth Proportional to 233,518.26, 350,326.60 and 75,734.42

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Solution

The fourth proportional to 233,518.26, 350,326.60 and 75,734.42 is: 113,617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,518.26 : 350,326.60 = 75,734.42 : x
  2. Step 2: Convert to fraction form
    233,518.26/350,326.60 = 75,734.42/x
  3. Step 3: Cross multiply
    233,518.26x = 350,326.60 × 75,734.42
  4. Step 4: Simplify right side
    233,518.26x = 26,531,781,861.57
  5. Step 5: Solve for x
    x = 26,531,781,861.57/233,518.26
  6. Step 6: Final answer
    x = 113,617.59

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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.