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Finding the Fourth Proportional to 217,144.80, 325,717.20 and 164,656.80

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Solution

The fourth proportional to 217,144.80, 325,717.20 and 164,656.80 is: 246,985.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,144.80 : 325,717.20 = 164,656.80 : x
  2. Step 2: Convert to fraction form
    217,144.80/325,717.20 = 164,656.80/x
  3. Step 3: Cross multiply
    217,144.80x = 325,717.20 × 164,656.80
  4. Step 4: Simplify right side
    217,144.80x = 53,631,551,856.96
  5. Step 5: Solve for x
    x = 53,631,551,856.96/217,144.80
  6. Step 6: Final answer
    x = 246,985.20

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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.