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Finding the Fourth Proportional to 143,082.36, 214,492.14 and 49,522.68

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Solution

The fourth proportional to 143,082.36, 214,492.14 and 49,522.68 is: 74,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,082.36 : 214,492.14 = 49,522.68 : x
  2. Step 2: Convert to fraction form
    143,082.36/214,492.14 = 49,522.68/x
  3. Step 3: Cross multiply
    143,082.36x = 214,492.14 × 49,522.68
  4. Step 4: Simplify right side
    143,082.36x = 10,622,225,611.74
  5. Step 5: Solve for x
    x = 10,622,225,611.74/143,082.36
  6. Step 6: Final answer
    x = 74,238.54

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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.