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Finding the Fourth Proportional to 222,726.38, 307,281.84 and 146,286.87

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Solution

The fourth proportional to 222,726.38, 307,281.84 and 146,286.87 is: 201,822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,726.38 : 307,281.84 = 146,286.87 : x
  2. Step 2: Convert to fraction form
    222,726.38/307,281.84 = 146,286.87/x
  3. Step 3: Cross multiply
    222,726.38x = 307,281.84 × 146,286.87
  4. Step 4: Simplify right side
    222,726.38x = 44,951,298,581.44
  5. Step 5: Solve for x
    x = 44,951,298,581.44/222,726.38
  6. Step 6: Final answer
    x = 201,822.97

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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.