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Finding the Fourth Proportional to 200,755.92, 277,042.77 and 115,872.96

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Solution

The fourth proportional to 200,755.92, 277,042.77 and 115,872.96 is: 159,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,755.92 : 277,042.77 = 115,872.96 : x
  2. Step 2: Convert to fraction form
    200,755.92/277,042.77 = 115,872.96/x
  3. Step 3: Cross multiply
    200,755.92x = 277,042.77 × 115,872.96
  4. Step 4: Simplify right side
    200,755.92x = 32,101,765,806.50
  5. Step 5: Solve for x
    x = 32,101,765,806.50/200,755.92
  6. Step 6: Final answer
    x = 159,904.45

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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.