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Finding the Fourth Proportional to 312,778.50, 469,167.80 and 76,121.18

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Solution

The fourth proportional to 312,778.50, 469,167.80 and 76,121.18 is: 114,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,778.50 : 469,167.80 = 76,121.18 : x
  2. Step 2: Convert to fraction form
    312,778.50/469,167.80 = 76,121.18/x
  3. Step 3: Cross multiply
    312,778.50x = 469,167.80 × 76,121.18
  4. Step 4: Simplify right side
    312,778.50x = 35,713,606,554.00
  5. Step 5: Solve for x
    x = 35,713,606,554.00/312,778.50
  6. Step 6: Final answer
    x = 114,181.78

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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.