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Finding the Fourth Proportional to 180,974.60, 271,426.28 and 61,019.88

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Solution

The fourth proportional to 180,974.60, 271,426.28 and 61,019.88 is: 91,517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,974.60 : 271,426.28 = 61,019.88 : x
  2. Step 2: Convert to fraction form
    180,974.60/271,426.28 = 61,019.88/x
  3. Step 3: Cross multiply
    180,974.60x = 271,426.28 × 61,019.88
  4. Step 4: Simplify right side
    180,974.60x = 16,562,399,034.45
  5. Step 5: Solve for x
    x = 16,562,399,034.45/180,974.60
  6. Step 6: Final answer
    x = 91,517.81

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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.