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Finding the Fourth Proportional to 207,609.65, 311,414.48 and 49,838.10

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Solution

The fourth proportional to 207,609.65, 311,414.48 and 49,838.10 is: 74,757.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,609.65 : 311,414.48 = 49,838.10 : x
  2. Step 2: Convert to fraction form
    207,609.65/311,414.48 = 49,838.10/x
  3. Step 3: Cross multiply
    207,609.65x = 311,414.48 × 49,838.10
  4. Step 4: Simplify right side
    207,609.65x = 15,520,305,746.50
  5. Step 5: Solve for x
    x = 15,520,305,746.50/207,609.65
  6. Step 6: Final answer
    x = 74,757.15

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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.