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Finding the Fourth Proportional to 201,726.00, 302,610.91 and 75,426.75

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Solution

The fourth proportional to 201,726.00, 302,610.91 and 75,426.75 is: 113,148.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,726.00 : 302,610.91 = 75,426.75 : x
  2. Step 2: Convert to fraction form
    201,726.00/302,610.91 = 75,426.75/x
  3. Step 3: Cross multiply
    201,726.00x = 302,610.91 × 75,426.75
  4. Step 4: Simplify right side
    201,726.00x = 22,824,955,942.79
  5. Step 5: Solve for x
    x = 22,824,955,942.79/201,726.00
  6. Step 6: Final answer
    x = 113,148.31

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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.