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Finding the Fourth Proportional to 223,301.54, 308,138.22 and 127,786.34

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Solution

The fourth proportional to 223,301.54, 308,138.22 and 127,786.34 is: 176,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,301.54 : 308,138.22 = 127,786.34 : x
  2. Step 2: Convert to fraction form
    223,301.54/308,138.22 = 127,786.34/x
  3. Step 3: Cross multiply
    223,301.54x = 308,138.22 × 127,786.34
  4. Step 4: Simplify right side
    223,301.54x = 39,375,855,347.91
  5. Step 5: Solve for x
    x = 39,375,855,347.91/223,301.54
  6. Step 6: Final answer
    x = 176,334.90

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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.