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Finding the Fourth Proportional to 214,922.57, 322,384.73 and 65,164.14

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Solution

The fourth proportional to 214,922.57, 322,384.73 and 65,164.14 is: 97,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,922.57 : 322,384.73 = 65,164.14 : x
  2. Step 2: Convert to fraction form
    214,922.57/322,384.73 = 65,164.14/x
  3. Step 3: Cross multiply
    214,922.57x = 322,384.73 × 65,164.14
  4. Step 4: Simplify right side
    214,922.57x = 21,007,923,353.76
  5. Step 5: Solve for x
    x = 21,007,923,353.76/214,922.57
  6. Step 6: Final answer
    x = 97,746.48

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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.