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Finding the Fourth Proportional to 137,423.44, 206,086.54 and 65,367.88

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Solution

The fourth proportional to 137,423.44, 206,086.54 and 65,367.88 is: 98,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,423.44 : 206,086.54 = 65,367.88 : x
  2. Step 2: Convert to fraction form
    137,423.44/206,086.54 = 65,367.88/x
  3. Step 3: Cross multiply
    137,423.44x = 206,086.54 × 65,367.88
  4. Step 4: Simplify right side
    137,423.44x = 13,471,440,216.34
  5. Step 5: Solve for x
    x = 13,471,440,216.34/137,423.44
  6. Step 6: Final answer
    x = 98,028.69

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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.