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Finding the Fourth Proportional to 98,198.32, 135,467.28 and 66,378.40

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Solution

The fourth proportional to 98,198.32, 135,467.28 and 66,378.40 is: 91,570.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,198.32 : 135,467.28 = 66,378.40 : x
  2. Step 2: Convert to fraction form
    98,198.32/135,467.28 = 66,378.40/x
  3. Step 3: Cross multiply
    98,198.32x = 135,467.28 × 66,378.40
  4. Step 4: Simplify right side
    98,198.32x = 8,992,101,298.75
  5. Step 5: Solve for x
    x = 8,992,101,298.75/98,198.32
  6. Step 6: Final answer
    x = 91,570.83

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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.