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Finding the Fourth Proportional to 233,759.82, 350,650.32 and 71,642.17

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Solution

The fourth proportional to 233,759.82, 350,650.32 and 71,642.17 is: 107,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,759.82 : 350,650.32 = 71,642.17 : x
  2. Step 2: Convert to fraction form
    233,759.82/350,650.32 = 71,642.17/x
  3. Step 3: Cross multiply
    233,759.82x = 350,650.32 × 71,642.17
  4. Step 4: Simplify right side
    233,759.82x = 25,121,350,005.65
  5. Step 5: Solve for x
    x = 25,121,350,005.65/233,759.82
  6. Step 6: Final answer
    x = 107,466.50

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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.