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Finding the Fourth Proportional to 223,181.82, 308,044.56 and 127,743.90

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Solution

The fourth proportional to 223,181.82, 308,044.56 and 127,743.90 is: 176,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,181.82 : 308,044.56 = 127,743.90 : x
  2. Step 2: Convert to fraction form
    223,181.82/308,044.56 = 127,743.90/x
  3. Step 3: Cross multiply
    223,181.82x = 308,044.56 × 127,743.90
  4. Step 4: Simplify right side
    223,181.82x = 39,350,813,468.18
  5. Step 5: Solve for x
    x = 39,350,813,468.18/223,181.82
  6. Step 6: Final answer
    x = 176,317.29

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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.