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Finding the Fourth Proportional to 202,922.49, 280,145.66 and 122,370.42

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Solution

The fourth proportional to 202,922.49, 280,145.66 and 122,370.42 is: 168,939.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,922.49 : 280,145.66 = 122,370.42 : x
  2. Step 2: Convert to fraction form
    202,922.49/280,145.66 = 122,370.42/x
  3. Step 3: Cross multiply
    202,922.49x = 280,145.66 × 122,370.42
  4. Step 4: Simplify right side
    202,922.49x = 34,281,541,463.53
  5. Step 5: Solve for x
    x = 34,281,541,463.53/202,922.49
  6. Step 6: Final answer
    x = 168,939.09

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