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Finding the Fourth Proportional to 100,664.74, 151,003.90 and 34,082.14

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Solution

The fourth proportional to 100,664.74, 151,003.90 and 34,082.14 is: 51,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,664.74 : 151,003.90 = 34,082.14 : x
  2. Step 2: Convert to fraction form
    100,664.74/151,003.90 = 34,082.14/x
  3. Step 3: Cross multiply
    100,664.74x = 151,003.90 × 34,082.14
  4. Step 4: Simplify right side
    100,664.74x = 5,146,536,060.35
  5. Step 5: Solve for x
    x = 5,146,536,060.35/100,664.74
  6. Step 6: Final answer
    x = 51,125.51

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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.