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Finding the Fourth Proportional to 133,992, 185,064.48 and 89,202.24

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Solution

The fourth proportional to 133,992, 185,064.48 and 89,202.24 is: 123,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,992 : 185,064.48 = 89,202.24 : x
  2. Step 2: Convert to fraction form
    133,992/185,064.48 = 89,202.24/x
  3. Step 3: Cross multiply
    133,992x = 185,064.48 × 89,202.24
  4. Step 4: Simplify right side
    133,992x = 16,508,166,160.44
  5. Step 5: Solve for x
    x = 16,508,166,160.44/133,992
  6. Step 6: Final answer
    x = 123,202.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.