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Finding the Fourth Proportional to 133,231.56, 183,858.17 and 75,082.88

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Solution

The fourth proportional to 133,231.56, 183,858.17 and 75,082.88 is: 103,613.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,231.56 : 183,858.17 = 75,082.88 : x
  2. Step 2: Convert to fraction form
    133,231.56/183,858.17 = 75,082.88/x
  3. Step 3: Cross multiply
    133,231.56x = 183,858.17 × 75,082.88
  4. Step 4: Simplify right side
    133,231.56x = 13,804,599,620.42
  5. Step 5: Solve for x
    x = 13,804,599,620.42/133,231.56
  6. Step 6: Final answer
    x = 103,613.59

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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.