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Finding the Fourth Proportional to 223,217.82, 308,046.02 and 127,755.27

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Solution

The fourth proportional to 223,217.82, 308,046.02 and 127,755.27 is: 176,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,217.82 : 308,046.02 = 127,755.27 : x
  2. Step 2: Convert to fraction form
    223,217.82/308,046.02 = 127,755.27/x
  3. Step 3: Cross multiply
    223,217.82x = 308,046.02 × 127,755.27
  4. Step 4: Simplify right side
    223,217.82x = 39,354,501,818.75
  5. Step 5: Solve for x
    x = 39,354,501,818.75/223,217.82
  6. Step 6: Final answer
    x = 176,305.38

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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.