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Finding the Fourth Proportional to 120,178.50, 180,253.97 and 31,440.57

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Solution

The fourth proportional to 120,178.50, 180,253.97 and 31,440.57 is: 47,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,178.50 : 180,253.97 = 31,440.57 : x
  2. Step 2: Convert to fraction form
    120,178.50/180,253.97 = 31,440.57/x
  3. Step 3: Cross multiply
    120,178.50x = 180,253.97 × 31,440.57
  4. Step 4: Simplify right side
    120,178.50x = 5,667,287,023.16
  5. Step 5: Solve for x
    x = 5,667,287,023.16/120,178.50
  6. Step 6: Final answer
    x = 47,157.25

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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.