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Finding the Fourth Proportional to 207,956.10, 311,934.15 and 194,834.10

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Solution

The fourth proportional to 207,956.10, 311,934.15 and 194,834.10 is: 292,251.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,956.10 : 311,934.15 = 194,834.10 : x
  2. Step 2: Convert to fraction form
    207,956.10/311,934.15 = 194,834.10/x
  3. Step 3: Cross multiply
    207,956.10x = 311,934.15 × 194,834.10
  4. Step 4: Simplify right side
    207,956.10x = 60,775,409,374.52
  5. Step 5: Solve for x
    x = 60,775,409,374.52/207,956.10
  6. Step 6: Final answer
    x = 292,251.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.