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Finding the Fourth Proportional to 278,195.88, 383,906.52 and 150,868.92

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Solution

The fourth proportional to 278,195.88, 383,906.52 and 150,868.92 is: 208,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,195.88 : 383,906.52 = 150,868.92 : x
  2. Step 2: Convert to fraction form
    278,195.88/383,906.52 = 150,868.92/x
  3. Step 3: Cross multiply
    278,195.88x = 383,906.52 × 150,868.92
  4. Step 4: Simplify right side
    278,195.88x = 57,919,562,053.36
  5. Step 5: Solve for x
    x = 57,919,562,053.36/278,195.88
  6. Step 6: Final answer
    x = 208,197.05

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1.5x scale

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.