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Finding the Fourth Proportional to 109,719.80, 164,585.10 and 57,231.80

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Solution

The fourth proportional to 109,719.80, 164,585.10 and 57,231.80 is: 85,850.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,719.80 : 164,585.10 = 57,231.80 : x
  2. Step 2: Convert to fraction form
    109,719.80/164,585.10 = 57,231.80/x
  3. Step 3: Cross multiply
    109,719.80x = 164,585.10 × 57,231.80
  4. Step 4: Simplify right side
    109,719.80x = 9,419,501,526.18
  5. Step 5: Solve for x
    x = 9,419,501,526.18/109,719.80
  6. Step 6: Final answer
    x = 85,850.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.