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Finding the Fourth Proportional to 202,792.96, 304,033.92 and 123,944.32

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Solution

The fourth proportional to 202,792.96, 304,033.92 and 123,944.32 is: 185,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,792.96 : 304,033.92 = 123,944.32 : x
  2. Step 2: Convert to fraction form
    202,792.96/304,033.92 = 123,944.32/x
  3. Step 3: Cross multiply
    202,792.96x = 304,033.92 × 123,944.32
  4. Step 4: Simplify right side
    202,792.96x = 37,683,277,471.33
  5. Step 5: Solve for x
    x = 37,683,277,471.33/202,792.96
  6. Step 6: Final answer
    x = 185,821.43

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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.