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Finding the Fourth Proportional to 312,734.62, 469,098.14 and 76,077.53

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Solution

The fourth proportional to 312,734.62, 469,098.14 and 76,077.53 is: 114,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,734.62 : 469,098.14 = 76,077.53 : x
  2. Step 2: Convert to fraction form
    312,734.62/469,098.14 = 76,077.53/x
  3. Step 3: Cross multiply
    312,734.62x = 469,098.14 × 76,077.53
  4. Step 4: Simplify right side
    312,734.62x = 35,687,826,852.03
  5. Step 5: Solve for x
    x = 35,687,826,852.03/312,734.62
  6. Step 6: Final answer
    x = 114,115.37

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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.