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Finding the Fourth Proportional to 222,610.38, 307,248.70 and 204,676.98

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Solution

The fourth proportional to 222,610.38, 307,248.70 and 204,676.98 is: 282,496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,610.38 : 307,248.70 = 204,676.98 : x
  2. Step 2: Convert to fraction form
    222,610.38/307,248.70 = 204,676.98/x
  3. Step 3: Cross multiply
    222,610.38x = 307,248.70 × 204,676.98
  4. Step 4: Simplify right side
    222,610.38x = 62,886,736,024.93
  5. Step 5: Solve for x
    x = 62,886,736,024.93/222,610.38
  6. Step 6: Final answer
    x = 282,496.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.