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Finding the Fourth Proportional to 232,993.82, 349,564.08 and 83,230.78

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Solution

The fourth proportional to 232,993.82, 349,564.08 and 83,230.78 is: 124,872.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,993.82 : 349,564.08 = 83,230.78 : x
  2. Step 2: Convert to fraction form
    232,993.82/349,564.08 = 83,230.78/x
  3. Step 3: Cross multiply
    232,993.82x = 349,564.08 × 83,230.78
  4. Step 4: Simplify right side
    232,993.82x = 29,094,491,038.38
  5. Step 5: Solve for x
    x = 29,094,491,038.38/232,993.82
  6. Step 6: Final answer
    x = 124,872.37

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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.