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Finding the Fourth Proportional to 223,101.65, 307,620.15 and 166,414.61

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Solution

The fourth proportional to 223,101.65, 307,620.15 and 166,414.61 is: 229,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,101.65 : 307,620.15 = 166,414.61 : x
  2. Step 2: Convert to fraction form
    223,101.65/307,620.15 = 166,414.61/x
  3. Step 3: Cross multiply
    223,101.65x = 307,620.15 × 166,414.61
  4. Step 4: Simplify right side
    223,101.65x = 51,192,487,290.39
  5. Step 5: Solve for x
    x = 51,192,487,290.39/223,101.65
  6. Step 6: Final answer
    x = 229,458.13

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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.