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Finding the Fourth Proportional to 201,976.52, 302,972.49 and 75,603.47

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Solution

The fourth proportional to 201,976.52, 302,972.49 and 75,603.47 is: 113,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,976.52 : 302,972.49 = 75,603.47 : x
  2. Step 2: Convert to fraction form
    201,976.52/302,972.49 = 75,603.47/x
  3. Step 3: Cross multiply
    201,976.52x = 302,972.49 × 75,603.47
  4. Step 4: Simplify right side
    201,976.52x = 22,905,771,558.54
  5. Step 5: Solve for x
    x = 22,905,771,558.54/201,976.52
  6. Step 6: Final answer
    x = 113,408.09

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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.