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Finding the Fourth Proportional to 312,874.56, 469,033.44 and 113,150.55

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Solution

The fourth proportional to 312,874.56, 469,033.44 and 113,150.55 is: 169,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,874.56 : 469,033.44 = 113,150.55 : x
  2. Step 2: Convert to fraction form
    312,874.56/469,033.44 = 113,150.55/x
  3. Step 3: Cross multiply
    312,874.56x = 469,033.44 × 113,150.55
  4. Step 4: Simplify right side
    312,874.56x = 53,071,391,704.39
  5. Step 5: Solve for x
    x = 53,071,391,704.39/312,874.56
  6. Step 6: Final answer
    x = 169,625.14

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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.