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Finding the Fourth Proportional to 222,947.38, 307,646.94 and 132,287.68

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Solution

The fourth proportional to 222,947.38, 307,646.94 and 132,287.68 is: 182,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,947.38 : 307,646.94 = 132,287.68 : x
  2. Step 2: Convert to fraction form
    222,947.38/307,646.94 = 132,287.68/x
  3. Step 3: Cross multiply
    222,947.38x = 307,646.94 × 132,287.68
  4. Step 4: Simplify right side
    222,947.38x = 40,697,899,951.70
  5. Step 5: Solve for x
    x = 40,697,899,951.70/222,947.38
  6. Step 6: Final answer
    x = 182,544.87

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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.