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Finding the Fourth Proportional to 180,965.05, 271,553.42 and 75,775.21

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Solution

The fourth proportional to 180,965.05, 271,553.42 and 75,775.21 is: 113,707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,965.05 : 271,553.42 = 75,775.21 : x
  2. Step 2: Convert to fraction form
    180,965.05/271,553.42 = 75,775.21/x
  3. Step 3: Cross multiply
    180,965.05x = 271,553.42 × 75,775.21
  4. Step 4: Simplify right side
    180,965.05x = 20,577,017,047.84
  5. Step 5: Solve for x
    x = 20,577,017,047.84/180,965.05
  6. Step 6: Final answer
    x = 113,707.13

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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.