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Finding the Fourth Proportional to 133,082.16, 183,648.60 and 73,466.16

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Solution

The fourth proportional to 133,082.16, 183,648.60 and 73,466.16 is: 101,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082.16 : 183,648.60 = 73,466.16 : x
  2. Step 2: Convert to fraction form
    133,082.16/183,648.60 = 73,466.16/x
  3. Step 3: Cross multiply
    133,082.16x = 183,648.60 × 73,466.16
  4. Step 4: Simplify right side
    133,082.16x = 13,491,957,431.38
  5. Step 5: Solve for x
    x = 13,491,957,431.38/133,082.16
  6. Step 6: Final answer
    x = 101,380.66

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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.