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Finding the Fourth Proportional to 133,553, 200,349.22 and 38,783.90

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Solution

The fourth proportional to 133,553, 200,349.22 and 38,783.90 is: 58,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,553 : 200,349.22 = 38,783.90 : x
  2. Step 2: Convert to fraction form
    133,553/200,349.22 = 38,783.90/x
  3. Step 3: Cross multiply
    133,553x = 200,349.22 × 38,783.90
  4. Step 4: Simplify right side
    133,553x = 7,770,324,113.56
  5. Step 5: Solve for x
    x = 7,770,324,113.56/133,553
  6. Step 6: Final answer
    x = 58,181.58

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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.