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Finding the Fourth Proportional to 201,578.52, 302,344.29 and 75,223.11

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Solution

The fourth proportional to 201,578.52, 302,344.29 and 75,223.11 is: 112,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,578.52 : 302,344.29 = 75,223.11 : x
  2. Step 2: Convert to fraction form
    201,578.52/302,344.29 = 75,223.11/x
  3. Step 3: Cross multiply
    201,578.52x = 302,344.29 × 75,223.11
  4. Step 4: Simplify right side
    201,578.52x = 22,743,277,784.54
  5. Step 5: Solve for x
    x = 22,743,277,784.54/201,578.52
  6. Step 6: Final answer
    x = 112,825.90

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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.