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Finding the Fourth Proportional to 180,603.12, 270,930.08 and 75,398.16

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Solution

The fourth proportional to 180,603.12, 270,930.08 and 75,398.16 is: 113,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,603.12 : 270,930.08 = 75,398.16 : x
  2. Step 2: Convert to fraction form
    180,603.12/270,930.08 = 75,398.16/x
  3. Step 3: Cross multiply
    180,603.12x = 270,930.08 × 75,398.16
  4. Step 4: Simplify right side
    180,603.12x = 20,427,629,520.65
  5. Step 5: Solve for x
    x = 20,427,629,520.65/180,603.12
  6. Step 6: Final answer
    x = 113,107.84

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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.