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Finding the Fourth Proportional to 223,242.49, 334,909.86 and 73,491.78

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Solution

The fourth proportional to 223,242.49, 334,909.86 and 73,491.78 is: 110,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,242.49 : 334,909.86 = 73,491.78 : x
  2. Step 2: Convert to fraction form
    223,242.49/334,909.86 = 73,491.78/x
  3. Step 3: Cross multiply
    223,242.49x = 334,909.86 × 73,491.78
  4. Step 4: Simplify right side
    223,242.49x = 24,613,122,731.27
  5. Step 5: Solve for x
    x = 24,613,122,731.27/223,242.49
  6. Step 6: Final answer
    x = 110,252.86

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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.