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Finding the Fourth Proportional to 223,207.92, 308,023.56 and 127,738.08

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Solution

The fourth proportional to 223,207.92, 308,023.56 and 127,738.08 is: 176,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,207.92 : 308,023.56 = 127,738.08 : x
  2. Step 2: Convert to fraction form
    223,207.92/308,023.56 = 127,738.08/x
  3. Step 3: Cross multiply
    223,207.92x = 308,023.56 × 127,738.08
  4. Step 4: Simplify right side
    223,207.92x = 39,346,338,149.16
  5. Step 5: Solve for x
    x = 39,346,338,149.16/223,207.92
  6. Step 6: Final answer
    x = 176,276.62

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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.