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Finding the Fourth Proportional to 90,082.50, 135,122.67 and 84,602.06

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Solution

The fourth proportional to 90,082.50, 135,122.67 and 84,602.06 is: 126,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,082.50 : 135,122.67 = 84,602.06 : x
  2. Step 2: Convert to fraction form
    90,082.50/135,122.67 = 84,602.06/x
  3. Step 3: Cross multiply
    90,082.50x = 135,122.67 × 84,602.06
  4. Step 4: Simplify right side
    90,082.50x = 11,431,656,234.70
  5. Step 5: Solve for x
    x = 11,431,656,234.70/90,082.50
  6. Step 6: Final answer
    x = 126,902.08

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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.