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Finding the Fourth Proportional to 180,998.30, 271,603.29 and 75,808.46

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Solution

The fourth proportional to 180,998.30, 271,603.29 and 75,808.46 is: 113,757.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,998.30 : 271,603.29 = 75,808.46 : x
  2. Step 2: Convert to fraction form
    180,998.30/271,603.29 = 75,808.46/x
  3. Step 3: Cross multiply
    180,998.30x = 271,603.29 × 75,808.46
  4. Step 4: Simplify right side
    180,998.30x = 20,589,827,145.83
  5. Step 5: Solve for x
    x = 20,589,827,145.83/180,998.30
  6. Step 6: Final answer
    x = 113,757.02

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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.