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Finding the Fourth Proportional to 80,283.98, 110,452.32 and 78,069.65

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Solution

The fourth proportional to 80,283.98, 110,452.32 and 78,069.65 is: 107,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,283.98 : 110,452.32 = 78,069.65 : x
  2. Step 2: Convert to fraction form
    80,283.98/110,452.32 = 78,069.65/x
  3. Step 3: Cross multiply
    80,283.98x = 110,452.32 × 78,069.65
  4. Step 4: Simplify right side
    80,283.98x = 8,622,973,411.83
  5. Step 5: Solve for x
    x = 8,622,973,411.83/80,283.98
  6. Step 6: Final answer
    x = 107,405.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.