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Finding the Fourth Proportional to 135,399.38, 186,857.56 and 81,683.24

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Solution

The fourth proportional to 135,399.38, 186,857.56 and 81,683.24 is: 112,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,399.38 : 186,857.56 = 81,683.24 : x
  2. Step 2: Convert to fraction form
    135,399.38/186,857.56 = 81,683.24/x
  3. Step 3: Cross multiply
    135,399.38x = 186,857.56 × 81,683.24
  4. Step 4: Simplify right side
    135,399.38x = 15,263,130,510.88
  5. Step 5: Solve for x
    x = 15,263,130,510.88/135,399.38
  6. Step 6: Final answer
    x = 112,726.74

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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.