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Finding the Fourth Proportional to 209,551.28, 314,375.72 and 59,793.62

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Solution

The fourth proportional to 209,551.28, 314,375.72 and 59,793.62 is: 89,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,551.28 : 314,375.72 = 59,793.62 : x
  2. Step 2: Convert to fraction form
    209,551.28/314,375.72 = 59,793.62/x
  3. Step 3: Cross multiply
    209,551.28x = 314,375.72 × 59,793.62
  4. Step 4: Simplify right side
    209,551.28x = 18,797,660,468.06
  5. Step 5: Solve for x
    x = 18,797,660,468.06/209,551.28
  6. Step 6: Final answer
    x = 89,704.35

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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.