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Finding the Fourth Proportional to 278,204.90, 383,923.21 and 150,880.60

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Solution

The fourth proportional to 278,204.90, 383,923.21 and 150,880.60 is: 208,215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,204.90 : 383,923.21 = 150,880.60 : x
  2. Step 2: Convert to fraction form
    278,204.90/383,923.21 = 150,880.60/x
  3. Step 3: Cross multiply
    278,204.90x = 383,923.21 × 150,880.60
  4. Step 4: Simplify right side
    278,204.90x = 57,926,562,359.11
  5. Step 5: Solve for x
    x = 57,926,562,359.11/278,204.90
  6. Step 6: Final answer
    x = 208,215.46

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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.