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Finding the Fourth Proportional to 91,711.20, 137,275.20 and 65,467.20

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Solution

The fourth proportional to 91,711.20, 137,275.20 and 65,467.20 is: 97,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,711.20 : 137,275.20 = 65,467.20 : x
  2. Step 2: Convert to fraction form
    91,711.20/137,275.20 = 65,467.20/x
  3. Step 3: Cross multiply
    91,711.20x = 137,275.20 × 65,467.20
  4. Step 4: Simplify right side
    91,711.20x = 8,987,022,973.44
  5. Step 5: Solve for x
    x = 8,987,022,973.44/91,711.20
  6. Step 6: Final answer
    x = 97,992.64

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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.