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Finding the Fourth Proportional to 214,522.24, 295,964.14 and 133,919.16

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Solution

The fourth proportional to 214,522.24, 295,964.14 and 133,919.16 is: 184,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,522.24 : 295,964.14 = 133,919.16 : x
  2. Step 2: Convert to fraction form
    214,522.24/295,964.14 = 133,919.16/x
  3. Step 3: Cross multiply
    214,522.24x = 295,964.14 × 133,919.16
  4. Step 4: Simplify right side
    214,522.24x = 39,635,269,018.92
  5. Step 5: Solve for x
    x = 39,635,269,018.92/214,522.24
  6. Step 6: Final answer
    x = 184,760.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.