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Finding the Fourth Proportional to 137,976.48, 206,991.12 and 44,457.12

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Solution

The fourth proportional to 137,976.48, 206,991.12 and 44,457.12 is: 66,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,976.48 : 206,991.12 = 44,457.12 : x
  2. Step 2: Convert to fraction form
    137,976.48/206,991.12 = 44,457.12/x
  3. Step 3: Cross multiply
    137,976.48x = 206,991.12 × 44,457.12
  4. Step 4: Simplify right side
    137,976.48x = 9,202,229,060.77
  5. Step 5: Solve for x
    x = 9,202,229,060.77/137,976.48
  6. Step 6: Final answer
    x = 66,694.19

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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.