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Finding the Fourth Proportional to 214,857.60, 322,286.40 and 109,881.60

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Solution

The fourth proportional to 214,857.60, 322,286.40 and 109,881.60 is: 164,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,857.60 : 322,286.40 = 109,881.60 : x
  2. Step 2: Convert to fraction form
    214,857.60/322,286.40 = 109,881.60/x
  3. Step 3: Cross multiply
    214,857.60x = 322,286.40 × 109,881.60
  4. Step 4: Simplify right side
    214,857.60x = 35,413,345,290.24
  5. Step 5: Solve for x
    x = 35,413,345,290.24/214,857.60
  6. Step 6: Final answer
    x = 164,822.40

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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.