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Finding the Fourth Proportional to 80,196.86, 110,667.72 and 45,742.96

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Solution

The fourth proportional to 80,196.86, 110,667.72 and 45,742.96 is: 63,123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,196.86 : 110,667.72 = 45,742.96 : x
  2. Step 2: Convert to fraction form
    80,196.86/110,667.72 = 45,742.96/x
  3. Step 3: Cross multiply
    80,196.86x = 110,667.72 × 45,742.96
  4. Step 4: Simplify right side
    80,196.86x = 5,062,268,535.91
  5. Step 5: Solve for x
    x = 5,062,268,535.91/80,196.86
  6. Step 6: Final answer
    x = 63,123.03

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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.