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Finding the Fourth Proportional to 222,947.13, 307,666.22 and 132,377.54

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Solution

The fourth proportional to 222,947.13, 307,666.22 and 132,377.54 is: 182,680.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,947.13 : 307,666.22 = 132,377.54 : x
  2. Step 2: Convert to fraction form
    222,947.13/307,666.22 = 132,377.54/x
  3. Step 3: Cross multiply
    222,947.13x = 307,666.22 × 132,377.54
  4. Step 4: Simplify right side
    222,947.13x = 40,728,095,144.48
  5. Step 5: Solve for x
    x = 40,728,095,144.48/222,947.13
  6. Step 6: Final answer
    x = 182,680.51

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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.