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Finding the Fourth Proportional to 278,249.54, 383,985.03 and 150,925.13

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Solution

The fourth proportional to 278,249.54, 383,985.03 and 150,925.13 is: 208,277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,249.54 : 383,985.03 = 150,925.13 : x
  2. Step 2: Convert to fraction form
    278,249.54/383,985.03 = 150,925.13/x
  3. Step 3: Cross multiply
    278,249.54x = 383,985.03 × 150,925.13
  4. Step 4: Simplify right side
    278,249.54x = 57,952,990,570.80
  5. Step 5: Solve for x
    x = 57,952,990,570.80/278,249.54
  6. Step 6: Final answer
    x = 208,277.04

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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.