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Finding the Fourth Proportional to 214,324.36, 295,844.16 and 146,292.64

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Solution

The fourth proportional to 214,324.36, 295,844.16 and 146,292.64 is: 201,936.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,324.36 : 295,844.16 = 146,292.64 : x
  2. Step 2: Convert to fraction form
    214,324.36/295,844.16 = 146,292.64/x
  3. Step 3: Cross multiply
    214,324.36x = 295,844.16 × 146,292.64
  4. Step 4: Simplify right side
    214,324.36x = 43,279,823,194.98
  5. Step 5: Solve for x
    x = 43,279,823,194.98/214,324.36
  6. Step 6: Final answer
    x = 201,936.09

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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.