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Finding the Fourth Proportional to 137,696.42, 206,505 and 37,859.90

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Solution

The fourth proportional to 137,696.42, 206,505 and 37,859.90 is: 56,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,696.42 : 206,505 = 37,859.90 : x
  2. Step 2: Convert to fraction form
    137,696.42/206,505 = 37,859.90/x
  3. Step 3: Cross multiply
    137,696.42x = 206,505 × 37,859.90
  4. Step 4: Simplify right side
    137,696.42x = 7,818,258,649.50
  5. Step 5: Solve for x
    x = 7,818,258,649.50/137,696.42
  6. Step 6: Final answer
    x = 56,778.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.