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Finding the Fourth Proportional to 217,334.14, 299,916.64 and 120,522.37

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Solution

The fourth proportional to 217,334.14, 299,916.64 and 120,522.37 is: 166,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,334.14 : 299,916.64 = 120,522.37 : x
  2. Step 2: Convert to fraction form
    217,334.14/299,916.64 = 120,522.37/x
  3. Step 3: Cross multiply
    217,334.14x = 299,916.64 × 120,522.37
  4. Step 4: Simplify right side
    217,334.14x = 36,146,664,255.24
  5. Step 5: Solve for x
    x = 36,146,664,255.24/217,334.14
  6. Step 6: Final answer
    x = 166,318.39

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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.