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Finding the Fourth Proportional to 223,195.80, 308,063.34 and 127,757.64

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Solution

The fourth proportional to 223,195.80, 308,063.34 and 127,757.64 is: 176,335.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,195.80 : 308,063.34 = 127,757.64 : x
  2. Step 2: Convert to fraction form
    223,195.80/308,063.34 = 127,757.64/x
  3. Step 3: Cross multiply
    223,195.80x = 308,063.34 × 127,757.64
  4. Step 4: Simplify right side
    223,195.80x = 39,357,445,288.92
  5. Step 5: Solve for x
    x = 39,357,445,288.92/223,195.80
  6. Step 6: Final answer
    x = 176,335.96

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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.