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Finding the Fourth Proportional to 233,487.70, 350,231.55 and 75,714.10

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Solution

The fourth proportional to 233,487.70, 350,231.55 and 75,714.10 is: 113,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,487.70 : 350,231.55 = 75,714.10 : x
  2. Step 2: Convert to fraction form
    233,487.70/350,231.55 = 75,714.10/x
  3. Step 3: Cross multiply
    233,487.70x = 350,231.55 × 75,714.10
  4. Step 4: Simplify right side
    233,487.70x = 26,517,466,599.86
  5. Step 5: Solve for x
    x = 26,517,466,599.86/233,487.70
  6. Step 6: Final answer
    x = 113,571.15

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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.