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Finding the Fourth Proportional to 278,004.42, 383,646.78 and 150,680.52

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Solution

The fourth proportional to 278,004.42, 383,646.78 and 150,680.52 is: 207,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,004.42 : 383,646.78 = 150,680.52 : x
  2. Step 2: Convert to fraction form
    278,004.42/383,646.78 = 150,680.52/x
  3. Step 3: Cross multiply
    278,004.42x = 383,646.78 × 150,680.52
  4. Step 4: Simplify right side
    278,004.42x = 57,808,096,306.73
  5. Step 5: Solve for x
    x = 57,808,096,306.73/278,004.42
  6. Step 6: Final answer
    x = 207,939.49

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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.