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Finding the Fourth Proportional to 222,922.85, 307,574.02 and 132,203.39

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Solution

The fourth proportional to 222,922.85, 307,574.02 and 132,203.39 is: 182,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,922.85 : 307,574.02 = 132,203.39 : x
  2. Step 2: Convert to fraction form
    222,922.85/307,574.02 = 132,203.39/x
  3. Step 3: Cross multiply
    222,922.85x = 307,574.02 × 132,203.39
  4. Step 4: Simplify right side
    222,922.85x = 40,662,328,119.93
  5. Step 5: Solve for x
    x = 40,662,328,119.93/222,922.85
  6. Step 6: Final answer
    x = 182,405.38

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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.