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Finding the Fourth Proportional to 200,767.44, 277,053.96 and 115,898.64

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Solution

The fourth proportional to 200,767.44, 277,053.96 and 115,898.64 is: 159,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,767.44 : 277,053.96 = 115,898.64 : x
  2. Step 2: Convert to fraction form
    200,767.44/277,053.96 = 115,898.64/x
  3. Step 3: Cross multiply
    200,767.44x = 277,053.96 × 115,898.64
  4. Step 4: Simplify right side
    200,767.44x = 32,110,177,170.61
  5. Step 5: Solve for x
    x = 32,110,177,170.61/200,767.44
  6. Step 6: Final answer
    x = 159,937.17

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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.