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Finding the Fourth Proportional to 132,470.25, 198,656.78 and 43,697.49

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Solution

The fourth proportional to 132,470.25, 198,656.78 and 43,697.49 is: 65,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,470.25 : 198,656.78 = 43,697.49 : x
  2. Step 2: Convert to fraction form
    132,470.25/198,656.78 = 43,697.49/x
  3. Step 3: Cross multiply
    132,470.25x = 198,656.78 × 43,697.49
  4. Step 4: Simplify right side
    132,470.25x = 8,680,802,438.99
  5. Step 5: Solve for x
    x = 8,680,802,438.99/132,470.25
  6. Step 6: Final answer
    x = 65,530.20

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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.