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Finding the Fourth Proportional to 80,206.65, 110,687.76 and 46,212.42

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Solution

The fourth proportional to 80,206.65, 110,687.76 and 46,212.42 is: 63,774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,206.65 : 110,687.76 = 46,212.42 : x
  2. Step 2: Convert to fraction form
    80,206.65/110,687.76 = 46,212.42/x
  3. Step 3: Cross multiply
    80,206.65x = 110,687.76 × 46,212.42
  4. Step 4: Simplify right side
    80,206.65x = 5,115,149,253.98
  5. Step 5: Solve for x
    x = 5,115,149,253.98/80,206.65
  6. Step 6: Final answer
    x = 63,774.63

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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.