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Finding the Fourth Proportional to 278,102.57, 383,782.38 and 150,778.22

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Solution

The fourth proportional to 278,102.57, 383,782.38 and 150,778.22 is: 208,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,102.57 : 383,782.38 = 150,778.22 : x
  2. Step 2: Convert to fraction form
    278,102.57/383,782.38 = 150,778.22/x
  3. Step 3: Cross multiply
    278,102.57x = 383,782.38 × 150,778.22
  4. Step 4: Simplify right side
    278,102.57x = 57,866,024,123.76
  5. Step 5: Solve for x
    x = 57,866,024,123.76/278,102.57
  6. Step 6: Final answer
    x = 208,074.40

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Why These Related Problems?

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