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Finding the Fourth Proportional to 137,696.32, 206,540.16 and 39,200.32

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Solution

The fourth proportional to 137,696.32, 206,540.16 and 39,200.32 is: 58,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,696.32 : 206,540.16 = 39,200.32 : x
  2. Step 2: Convert to fraction form
    137,696.32/206,540.16 = 39,200.32/x
  3. Step 3: Cross multiply
    137,696.32x = 206,540.16 × 39,200.32
  4. Step 4: Simplify right side
    137,696.32x = 8,096,440,364.85
  5. Step 5: Solve for x
    x = 8,096,440,364.85/137,696.32
  6. Step 6: Final answer
    x = 58,799.25

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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.