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Finding the Fourth Proportional to 214,964.34, 322,447.26 and 65,205.92

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Solution

The fourth proportional to 214,964.34, 322,447.26 and 65,205.92 is: 97,809.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,964.34 : 322,447.26 = 65,205.92 : x
  2. Step 2: Convert to fraction form
    214,964.34/322,447.26 = 65,205.92/x
  3. Step 3: Cross multiply
    214,964.34x = 322,447.26 × 65,205.92
  4. Step 4: Simplify right side
    214,964.34x = 21,025,470,239.78
  5. Step 5: Solve for x
    x = 21,025,470,239.78/214,964.34
  6. Step 6: Final answer
    x = 97,809.11

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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.