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Finding the Fourth Proportional to 233,207.23, 349,821.78 and 75,448

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Solution

The fourth proportional to 233,207.23, 349,821.78 and 75,448 is: 113,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,207.23 : 349,821.78 = 75,448 : x
  2. Step 2: Convert to fraction form
    233,207.23/349,821.78 = 75,448/x
  3. Step 3: Cross multiply
    233,207.23x = 349,821.78 × 75,448
  4. Step 4: Simplify right side
    233,207.23x = 26,393,353,657.44
  5. Step 5: Solve for x
    x = 26,393,353,657.44/233,207.23
  6. Step 6: Final answer
    x = 113,175.54

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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.