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Finding the Fourth Proportional to 222,953.09, 307,654.92 and 132,293.43

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Solution

The fourth proportional to 222,953.09, 307,654.92 and 132,293.43 is: 182,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,953.09 : 307,654.92 = 132,293.43 : x
  2. Step 2: Convert to fraction form
    222,953.09/307,654.92 = 132,293.43/x
  3. Step 3: Cross multiply
    222,953.09x = 307,654.92 × 132,293.43
  4. Step 4: Simplify right side
    222,953.09x = 40,700,724,623.18
  5. Step 5: Solve for x
    x = 40,700,724,623.18/222,953.09
  6. Step 6: Final answer
    x = 182,552.87

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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.