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Finding the Fourth Proportional to 278,167.48, 383,873.54 and 150,843.08

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Solution

The fourth proportional to 278,167.48, 383,873.54 and 150,843.08 is: 208,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,167.48 : 383,873.54 = 150,843.08 : x
  2. Step 2: Convert to fraction form
    278,167.48/383,873.54 = 150,843.08/x
  3. Step 3: Cross multiply
    278,167.48x = 383,873.54 × 150,843.08
  4. Step 4: Simplify right side
    278,167.48x = 57,904,667,309.57
  5. Step 5: Solve for x
    x = 57,904,667,309.57/278,167.48
  6. Step 6: Final answer
    x = 208,164.76

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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.