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Finding the Fourth Proportional to 496,178.82, 744,169.86 and 141,195.96

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Solution

The fourth proportional to 496,178.82, 744,169.86 and 141,195.96 is: 211,765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,178.82 : 744,169.86 = 141,195.96 : x
  2. Step 2: Convert to fraction form
    496,178.82/744,169.86 = 141,195.96/x
  3. Step 3: Cross multiply
    496,178.82x = 744,169.86 × 141,195.96
  4. Step 4: Simplify right side
    496,178.82x = 105,073,777,785.77
  5. Step 5: Solve for x
    x = 105,073,777,785.77/496,178.82
  6. Step 6: Final answer
    x = 211,765.95

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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.