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Finding the Fourth Proportional to 120,215.61, 180,206.24 and 50,114.97

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Solution

The fourth proportional to 120,215.61, 180,206.24 and 50,114.97 is: 75,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,215.61 : 180,206.24 = 50,114.97 : x
  2. Step 2: Convert to fraction form
    120,215.61/180,206.24 = 50,114.97/x
  3. Step 3: Cross multiply
    120,215.61x = 180,206.24 × 50,114.97
  4. Step 4: Simplify right side
    120,215.61x = 9,031,030,060.84
  5. Step 5: Solve for x
    x = 9,031,030,060.84/120,215.61
  6. Step 6: Final answer
    x = 75,123.61

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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.