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Finding the Fourth Proportional to 278,044.71, 383,697.64 and 157,181.97

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Solution

The fourth proportional to 278,044.71, 383,697.64 and 157,181.97 is: 216,908.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,044.71 : 383,697.64 = 157,181.97 : x
  2. Step 2: Convert to fraction form
    278,044.71/383,697.64 = 157,181.97/x
  3. Step 3: Cross multiply
    278,044.71x = 383,697.64 × 157,181.97
  4. Step 4: Simplify right side
    278,044.71x = 60,310,350,939.55
  5. Step 5: Solve for x
    x = 60,310,350,939.55/278,044.71
  6. Step 6: Final answer
    x = 216,908.82

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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.