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Finding the Fourth Proportional to 200,781.42, 277,078.32 and 115,898.48

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Solution

The fourth proportional to 200,781.42, 277,078.32 and 115,898.48 is: 159,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,781.42 : 277,078.32 = 115,898.48 : x
  2. Step 2: Convert to fraction form
    200,781.42/277,078.32 = 115,898.48/x
  3. Step 3: Cross multiply
    200,781.42x = 277,078.32 × 115,898.48
  4. Step 4: Simplify right side
    200,781.42x = 32,112,954,743.56
  5. Step 5: Solve for x
    x = 32,112,954,743.56/200,781.42
  6. Step 6: Final answer
    x = 159,939.87

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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.