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Finding the Fourth Proportional to 132,082.82, 182,274.29 and 75,495.41

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Solution

The fourth proportional to 132,082.82, 182,274.29 and 75,495.41 is: 104,183.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,082.82 : 182,274.29 = 75,495.41 : x
  2. Step 2: Convert to fraction form
    132,082.82/182,274.29 = 75,495.41/x
  3. Step 3: Cross multiply
    132,082.82x = 182,274.29 × 75,495.41
  4. Step 4: Simplify right side
    132,082.82x = 13,760,872,283.64
  5. Step 5: Solve for x
    x = 13,760,872,283.64/132,082.82
  6. Step 6: Final answer
    x = 104,183.67

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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.