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Finding the Fourth Proportional to 78,198.57, 117,304.65 and 22,039.05

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Solution

The fourth proportional to 78,198.57, 117,304.65 and 22,039.05 is: 33,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,198.57 : 117,304.65 = 22,039.05 : x
  2. Step 2: Convert to fraction form
    78,198.57/117,304.65 = 22,039.05/x
  3. Step 3: Cross multiply
    78,198.57x = 117,304.65 × 22,039.05
  4. Step 4: Simplify right side
    78,198.57x = 2,585,283,046.58
  5. Step 5: Solve for x
    x = 2,585,283,046.58/78,198.57
  6. Step 6: Final answer
    x = 33,060.49

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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.