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Finding the Fourth Proportional to 207,684.25, 311,526.34 and 49,912.70

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Solution

The fourth proportional to 207,684.25, 311,526.34 and 49,912.70 is: 74,869.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,684.25 : 311,526.34 = 49,912.70 : x
  2. Step 2: Convert to fraction form
    207,684.25/311,526.34 = 49,912.70/x
  3. Step 3: Cross multiply
    207,684.25x = 311,526.34 × 49,912.70
  4. Step 4: Simplify right side
    207,684.25x = 15,549,120,750.52
  5. Step 5: Solve for x
    x = 15,549,120,750.52/207,684.25
  6. Step 6: Final answer
    x = 74,869.04

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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.