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Finding the Fourth Proportional to 120,177.80, 180,218.10 and 41,251.40

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Solution

The fourth proportional to 120,177.80, 180,218.10 and 41,251.40 is: 61,860.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,177.80 : 180,218.10 = 41,251.40 : x
  2. Step 2: Convert to fraction form
    120,177.80/180,218.10 = 41,251.40/x
  3. Step 3: Cross multiply
    120,177.80x = 180,218.10 × 41,251.40
  4. Step 4: Simplify right side
    120,177.80x = 7,434,248,930.34
  5. Step 5: Solve for x
    x = 7,434,248,930.34/120,177.80
  6. Step 6: Final answer
    x = 61,860.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.