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Finding the Fourth Proportional to 278,165.88, 383,868.92 and 150,841.58

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Solution

The fourth proportional to 278,165.88, 383,868.92 and 150,841.58 is: 208,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,165.88 : 383,868.92 = 150,841.58 : x
  2. Step 2: Convert to fraction form
    278,165.88/383,868.92 = 150,841.58/x
  3. Step 3: Cross multiply
    278,165.88x = 383,868.92 × 150,841.58
  4. Step 4: Simplify right side
    278,165.88x = 57,903,393,518.84
  5. Step 5: Solve for x
    x = 57,903,393,518.84/278,165.88
  6. Step 6: Final answer
    x = 208,161.38

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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.