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Finding the Fourth Proportional to 201,406.26, 302,134.01 and 68,324.59

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Solution

The fourth proportional to 201,406.26, 302,134.01 and 68,324.59 is: 102,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,406.26 : 302,134.01 = 68,324.59 : x
  2. Step 2: Convert to fraction form
    201,406.26/302,134.01 = 68,324.59/x
  3. Step 3: Cross multiply
    201,406.26x = 302,134.01 × 68,324.59
  4. Step 4: Simplify right side
    201,406.26x = 20,643,182,016.68
  5. Step 5: Solve for x
    x = 20,643,182,016.68/201,406.26
  6. Step 6: Final answer
    x = 102,495.24

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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.