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Finding the Fourth Proportional to 110,719.80, 166,101.30 and 47,539.80

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Solution

The fourth proportional to 110,719.80, 166,101.30 and 47,539.80 is: 71,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,719.80 : 166,101.30 = 47,539.80 : x
  2. Step 2: Convert to fraction form
    110,719.80/166,101.30 = 47,539.80/x
  3. Step 3: Cross multiply
    110,719.80x = 166,101.30 × 47,539.80
  4. Step 4: Simplify right side
    110,719.80x = 7,896,422,581.74
  5. Step 5: Solve for x
    x = 7,896,422,581.74/110,719.80
  6. Step 6: Final answer
    x = 71,318.97

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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.