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Finding the Fourth Proportional to 115,191.82, 158,945.46 and 64,193.38

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Solution

The fourth proportional to 115,191.82, 158,945.46 and 64,193.38 is: 88,576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,191.82 : 158,945.46 = 64,193.38 : x
  2. Step 2: Convert to fraction form
    115,191.82/158,945.46 = 64,193.38/x
  3. Step 3: Cross multiply
    115,191.82x = 158,945.46 × 64,193.38
  4. Step 4: Simplify right side
    115,191.82x = 10,203,245,674.97
  5. Step 5: Solve for x
    x = 10,203,245,674.97/115,191.82
  6. Step 6: Final answer
    x = 88,576.13

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Why These Related Problems?

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