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Finding the Fourth Proportional to 137,706.40, 206,498.16 and 39,187.36

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Solution

The fourth proportional to 137,706.40, 206,498.16 and 39,187.36 is: 58,763.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,706.40 : 206,498.16 = 39,187.36 : x
  2. Step 2: Convert to fraction form
    137,706.40/206,498.16 = 39,187.36/x
  3. Step 3: Cross multiply
    137,706.40x = 206,498.16 × 39,187.36
  4. Step 4: Simplify right side
    137,706.40x = 8,092,117,735.26
  5. Step 5: Solve for x
    x = 8,092,117,735.26/137,706.40
  6. Step 6: Final answer
    x = 58,763.56

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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.