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Finding the Fourth Proportional to 137,768.36, 206,674.14 and 58,883

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Solution

The fourth proportional to 137,768.36, 206,674.14 and 58,883 is: 88,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,768.36 : 206,674.14 = 58,883 : x
  2. Step 2: Convert to fraction form
    137,768.36/206,674.14 = 58,883/x
  3. Step 3: Cross multiply
    137,768.36x = 206,674.14 × 58,883
  4. Step 4: Simplify right side
    137,768.36x = 12,169,593,385.62
  5. Step 5: Solve for x
    x = 12,169,593,385.62/137,768.36
  6. Step 6: Final answer
    x = 88,333.73

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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.