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Finding the Fourth Proportional to 278,033.34, 383,675.72 and 150,706.20

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Solution

The fourth proportional to 278,033.34, 383,675.72 and 150,706.20 is: 207,968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,033.34 : 383,675.72 = 150,706.20 : x
  2. Step 2: Convert to fraction form
    278,033.34/383,675.72 = 150,706.20/x
  3. Step 3: Cross multiply
    278,033.34x = 383,675.72 × 150,706.20
  4. Step 4: Simplify right side
    278,033.34x = 57,822,309,793.46
  5. Step 5: Solve for x
    x = 57,822,309,793.46/278,033.34
  6. Step 6: Final answer
    x = 207,968.98

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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.