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Finding the Fourth Proportional to 134,588.52, 201,882.24 and 50,355

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Solution

The fourth proportional to 134,588.52, 201,882.24 and 50,355 is: 75,532.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,588.52 : 201,882.24 = 50,355 : x
  2. Step 2: Convert to fraction form
    134,588.52/201,882.24 = 50,355/x
  3. Step 3: Cross multiply
    134,588.52x = 201,882.24 × 50,355
  4. Step 4: Simplify right side
    134,588.52x = 10,165,780,195.20
  5. Step 5: Solve for x
    x = 10,165,780,195.20/134,588.52
  6. Step 6: Final answer
    x = 75,532.30

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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.