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Finding the Fourth Proportional to 278,063.40, 383,729.46 and 150,741

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Solution

The fourth proportional to 278,063.40, 383,729.46 and 150,741 is: 208,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,063.40 : 383,729.46 = 150,741 : x
  2. Step 2: Convert to fraction form
    278,063.40/383,729.46 = 150,741/x
  3. Step 3: Cross multiply
    278,063.40x = 383,729.46 × 150,741
  4. Step 4: Simplify right side
    278,063.40x = 57,843,762,529.86
  5. Step 5: Solve for x
    x = 57,843,762,529.86/278,063.40
  6. Step 6: Final answer
    x = 208,023.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.