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Finding the Fourth Proportional to 233,311.26, 350,022.51 and 75,539.76

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Solution

The fourth proportional to 233,311.26, 350,022.51 and 75,539.76 is: 113,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,311.26 : 350,022.51 = 75,539.76 : x
  2. Step 2: Convert to fraction form
    233,311.26/350,022.51 = 75,539.76/x
  3. Step 3: Cross multiply
    233,311.26x = 350,022.51 × 75,539.76
  4. Step 4: Simplify right side
    233,311.26x = 26,440,616,400.00
  5. Step 5: Solve for x
    x = 26,440,616,400.00/233,311.26
  6. Step 6: Final answer
    x = 113,327.65

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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.