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Finding the Fourth Proportional to 180,850.80, 271,405.80 and 101,881.20

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Solution

The fourth proportional to 180,850.80, 271,405.80 and 101,881.20 is: 152,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,850.80 : 271,405.80 = 101,881.20 : x
  2. Step 2: Convert to fraction form
    180,850.80/271,405.80 = 101,881.20/x
  3. Step 3: Cross multiply
    180,850.80x = 271,405.80 × 101,881.20
  4. Step 4: Simplify right side
    180,850.80x = 27,651,148,590.96
  5. Step 5: Solve for x
    x = 27,651,148,590.96/180,850.80
  6. Step 6: Final answer
    x = 152,894.81

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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.