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Finding the Fourth Proportional to 200,838.56, 277,160.00 and 110,192.94

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Solution

The fourth proportional to 200,838.56, 277,160.00 and 110,192.94 is: 152,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,838.56 : 277,160.00 = 110,192.94 : x
  2. Step 2: Convert to fraction form
    200,838.56/277,160.00 = 110,192.94/x
  3. Step 3: Cross multiply
    200,838.56x = 277,160.00 × 110,192.94
  4. Step 4: Simplify right side
    200,838.56x = 30,541,074,699.44
  5. Step 5: Solve for x
    x = 30,541,074,699.44/200,838.56
  6. Step 6: Final answer
    x = 152,067.79

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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.