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Finding the Fourth Proportional to 180,329.20, 270,518.41 and 75,123.56

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Solution

The fourth proportional to 180,329.20, 270,518.41 and 75,123.56 is: 112,695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,329.20 : 270,518.41 = 75,123.56 : x
  2. Step 2: Convert to fraction form
    180,329.20/270,518.41 = 75,123.56/x
  3. Step 3: Cross multiply
    180,329.20x = 270,518.41 × 75,123.56
  4. Step 4: Simplify right side
    180,329.20x = 20,322,306,004.74
  5. Step 5: Solve for x
    x = 20,322,306,004.74/180,329.20
  6. Step 6: Final answer
    x = 112,695.59

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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.