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Finding the Fourth Proportional to 115,198.09, 158,974.14 and 64,214.12

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Solution

The fourth proportional to 115,198.09, 158,974.14 and 64,214.12 is: 88,615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,198.09 : 158,974.14 = 64,214.12 : x
  2. Step 2: Convert to fraction form
    115,198.09/158,974.14 = 64,214.12/x
  3. Step 3: Cross multiply
    115,198.09x = 158,974.14 × 64,214.12
  4. Step 4: Simplify right side
    115,198.09x = 10,208,384,502.86
  5. Step 5: Solve for x
    x = 10,208,384,502.86/115,198.09
  6. Step 6: Final answer
    x = 88,615.92

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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.