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Finding the Fourth Proportional to 223,945.38, 309,044.63 and 123,343.38

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Solution

The fourth proportional to 223,945.38, 309,044.63 and 123,343.38 is: 170,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,945.38 : 309,044.63 = 123,343.38 : x
  2. Step 2: Convert to fraction form
    223,945.38/309,044.63 = 123,343.38/x
  3. Step 3: Cross multiply
    223,945.38x = 309,044.63 × 123,343.38
  4. Step 4: Simplify right side
    223,945.38x = 38,118,609,892.24
  5. Step 5: Solve for x
    x = 38,118,609,892.24/223,945.38
  6. Step 6: Final answer
    x = 170,213.87

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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.