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Finding the Fourth Proportional to 223,207.54, 334,774.32 and 73,449.70

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Solution

The fourth proportional to 223,207.54, 334,774.32 and 73,449.70 is: 110,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,207.54 : 334,774.32 = 73,449.70 : x
  2. Step 2: Convert to fraction form
    223,207.54/334,774.32 = 73,449.70/x
  3. Step 3: Cross multiply
    223,207.54x = 334,774.32 × 73,449.70
  4. Step 4: Simplify right side
    223,207.54x = 24,589,073,371.70
  5. Step 5: Solve for x
    x = 24,589,073,371.70/223,207.54
  6. Step 6: Final answer
    x = 110,162.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.