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Finding the Fourth Proportional to 133,498.44, 200,228.22 and 50,373

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Solution

The fourth proportional to 133,498.44, 200,228.22 and 50,373 is: 75,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,498.44 : 200,228.22 = 50,373 : x
  2. Step 2: Convert to fraction form
    133,498.44/200,228.22 = 50,373/x
  3. Step 3: Cross multiply
    133,498.44x = 200,228.22 × 50,373
  4. Step 4: Simplify right side
    133,498.44x = 10,086,096,126.06
  5. Step 5: Solve for x
    x = 10,086,096,126.06/133,498.44
  6. Step 6: Final answer
    x = 75,552.16

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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.