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Finding the Fourth Proportional to 223,956.82, 309,060.38 and 123,354.82

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Solution

The fourth proportional to 223,956.82, 309,060.38 and 123,354.82 is: 170,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,956.82 : 309,060.38 = 123,354.82 : x
  2. Step 2: Convert to fraction form
    223,956.82/309,060.38 = 123,354.82/x
  3. Step 3: Cross multiply
    223,956.82x = 309,060.38 × 123,354.82
  4. Step 4: Simplify right side
    223,956.82x = 38,124,087,544.03
  5. Step 5: Solve for x
    x = 38,124,087,544.03/223,956.82
  6. Step 6: Final answer
    x = 170,229.63

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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.