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Finding the Fourth Proportional to 217,281.60, 325,908.12 and 75,093.80

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Solution

The fourth proportional to 217,281.60, 325,908.12 and 75,093.80 is: 112,635.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,281.60 : 325,908.12 = 75,093.80 : x
  2. Step 2: Convert to fraction form
    217,281.60/325,908.12 = 75,093.80/x
  3. Step 3: Cross multiply
    217,281.60x = 325,908.12 × 75,093.80
  4. Step 4: Simplify right side
    217,281.60x = 24,473,677,552.12
  5. Step 5: Solve for x
    x = 24,473,677,552.12/217,281.60
  6. Step 6: Final answer
    x = 112,635.76

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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.