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Finding the Fourth Proportional to 223,452.86, 335,132 and 73,657.55

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Solution

The fourth proportional to 223,452.86, 335,132 and 73,657.55 is: 110,470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,452.86 : 335,132 = 73,657.55 : x
  2. Step 2: Convert to fraction form
    223,452.86/335,132 = 73,657.55/x
  3. Step 3: Cross multiply
    223,452.86x = 335,132 × 73,657.55
  4. Step 4: Simplify right side
    223,452.86x = 24,685,000,370.94
  5. Step 5: Solve for x
    x = 24,685,000,370.94/223,452.86
  6. Step 6: Final answer
    x = 110,470.73

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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.