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Finding the Fourth Proportional to 232,882.10, 349,745.55 and 203,851.70

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Solution

The fourth proportional to 232,882.10, 349,745.55 and 203,851.70 is: 306,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,882.10 : 349,745.55 = 203,851.70 : x
  2. Step 2: Convert to fraction form
    232,882.10/349,745.55 = 203,851.70/x
  3. Step 3: Cross multiply
    232,882.10x = 349,745.55 × 203,851.70
  4. Step 4: Simplify right side
    232,882.10x = 71,296,224,934.94
  5. Step 5: Solve for x
    x = 71,296,224,934.94/232,882.10
  6. Step 6: Final answer
    x = 306,147.29

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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.