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Finding the Fourth Proportional to 201,726.49, 302,611.66 and 75,427.24

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Solution

The fourth proportional to 201,726.49, 302,611.66 and 75,427.24 is: 113,149.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,726.49 : 302,611.66 = 75,427.24 : x
  2. Step 2: Convert to fraction form
    201,726.49/302,611.66 = 75,427.24/x
  3. Step 3: Cross multiply
    201,726.49x = 302,611.66 × 75,427.24
  4. Step 4: Simplify right side
    201,726.49x = 22,825,162,305.62
  5. Step 5: Solve for x
    x = 22,825,162,305.62/201,726.49
  6. Step 6: Final answer
    x = 113,149.06

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