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Finding the Fourth Proportional to 180,965.80, 271,554.54 and 75,775.96

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Solution

The fourth proportional to 180,965.80, 271,554.54 and 75,775.96 is: 113,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,965.80 : 271,554.54 = 75,775.96 : x
  2. Step 2: Convert to fraction form
    180,965.80/271,554.54 = 75,775.96/x
  3. Step 3: Cross multiply
    180,965.80x = 271,554.54 × 75,775.96
  4. Step 4: Simplify right side
    180,965.80x = 20,577,305,960.86
  5. Step 5: Solve for x
    x = 20,577,305,960.86/180,965.80
  6. Step 6: Final answer
    x = 113,708.26

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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.