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Finding the Fourth Proportional to 123,082.80, 184,625.64 and 34,330.88

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Solution

The fourth proportional to 123,082.80, 184,625.64 and 34,330.88 is: 51,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,082.80 : 184,625.64 = 34,330.88 : x
  2. Step 2: Convert to fraction form
    123,082.80/184,625.64 = 34,330.88/x
  3. Step 3: Cross multiply
    123,082.80x = 184,625.64 × 34,330.88
  4. Step 4: Simplify right side
    123,082.80x = 6,338,360,691.76
  5. Step 5: Solve for x
    x = 6,338,360,691.76/123,082.80
  6. Step 6: Final answer
    x = 51,496.72

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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.