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Finding the Fourth Proportional to 223,949.13, 309,049.82 and 123,347.13

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Solution

The fourth proportional to 223,949.13, 309,049.82 and 123,347.13 is: 170,219.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,949.13 : 309,049.82 = 123,347.13 : x
  2. Step 2: Convert to fraction form
    223,949.13/309,049.82 = 123,347.13/x
  3. Step 3: Cross multiply
    223,949.13x = 309,049.82 × 123,347.13
  4. Step 4: Simplify right side
    223,949.13x = 38,120,407,707.28
  5. Step 5: Solve for x
    x = 38,120,407,707.28/223,949.13
  6. Step 6: Final answer
    x = 170,219.05

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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.