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Finding the Fourth Proportional to 214,898.34, 322,405.83 and 65,143.51

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Solution

The fourth proportional to 214,898.34, 322,405.83 and 65,143.51 is: 97,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,898.34 : 322,405.83 = 65,143.51 : x
  2. Step 2: Convert to fraction form
    214,898.34/322,405.83 = 65,143.51/x
  3. Step 3: Cross multiply
    214,898.34x = 322,405.83 × 65,143.51
  4. Step 4: Simplify right side
    214,898.34x = 21,002,647,410.66
  5. Step 5: Solve for x
    x = 21,002,647,410.66/214,898.34
  6. Step 6: Final answer
    x = 97,732.94

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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.