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Finding the Fourth Proportional to 137,815.75, 206,723.67 and 44,321.50

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Solution

The fourth proportional to 137,815.75, 206,723.67 and 44,321.50 is: 66,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,815.75 : 206,723.67 = 44,321.50 : x
  2. Step 2: Convert to fraction form
    137,815.75/206,723.67 = 44,321.50/x
  3. Step 3: Cross multiply
    137,815.75x = 206,723.67 × 44,321.50
  4. Step 4: Simplify right side
    137,815.75x = 9,162,303,139.91
  5. Step 5: Solve for x
    x = 9,162,303,139.91/137,815.75
  6. Step 6: Final answer
    x = 66,482.26

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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.