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Finding the Fourth Proportional to 223,405.84, 308,251.12 and 132,791.92

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Solution

The fourth proportional to 223,405.84, 308,251.12 and 132,791.92 is: 183,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,405.84 : 308,251.12 = 132,791.92 : x
  2. Step 2: Convert to fraction form
    223,405.84/308,251.12 = 132,791.92/x
  3. Step 3: Cross multiply
    223,405.84x = 308,251.12 × 132,791.92
  4. Step 4: Simplify right side
    223,405.84x = 40,933,258,066.95
  5. Step 5: Solve for x
    x = 40,933,258,066.95/223,405.84
  6. Step 6: Final answer
    x = 183,223.76

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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.