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Finding the Fourth Proportional to 223,948.97, 309,049.58 and 123,346.97

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Solution

The fourth proportional to 223,948.97, 309,049.58 and 123,346.97 is: 170,218.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,948.97 : 309,049.58 = 123,346.97 : x
  2. Step 2: Convert to fraction form
    223,948.97/309,049.58 = 123,346.97/x
  3. Step 3: Cross multiply
    223,948.97x = 309,049.58 × 123,346.97
  4. Step 4: Simplify right side
    223,948.97x = 38,120,329,194.83
  5. Step 5: Solve for x
    x = 38,120,329,194.83/223,948.97
  6. Step 6: Final answer
    x = 170,218.82

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1.5x scale

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.