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Finding the Fourth Proportional to 101,324.94, 151,990.50 and 34,764.14

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Solution

The fourth proportional to 101,324.94, 151,990.50 and 34,764.14 is: 52,147.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,324.94 : 151,990.50 = 34,764.14 : x
  2. Step 2: Convert to fraction form
    101,324.94/151,990.50 = 34,764.14/x
  3. Step 3: Cross multiply
    101,324.94x = 151,990.50 × 34,764.14
  4. Step 4: Simplify right side
    101,324.94x = 5,283,818,086.90
  5. Step 5: Solve for x
    x = 5,283,818,086.90/101,324.94
  6. Step 6: Final answer
    x = 52,147.26

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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.