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Finding the Fourth Proportional to 217,646.68, 300,352.42 and 122,153.38

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Solution

The fourth proportional to 217,646.68, 300,352.42 and 122,153.38 is: 168,571.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,646.68 : 300,352.42 = 122,153.38 : x
  2. Step 2: Convert to fraction form
    217,646.68/300,352.42 = 122,153.38/x
  3. Step 3: Cross multiply
    217,646.68x = 300,352.42 × 122,153.38
  4. Step 4: Simplify right side
    217,646.68x = 36,689,061,487.03
  5. Step 5: Solve for x
    x = 36,689,061,487.03/217,646.68
  6. Step 6: Final answer
    x = 168,571.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.