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Finding the Fourth Proportional to 200,777.82, 277,123.80 and 136,356.08

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Solution

The fourth proportional to 200,777.82, 277,123.80 and 136,356.08 is: 188,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,777.82 : 277,123.80 = 136,356.08 : x
  2. Step 2: Convert to fraction form
    200,777.82/277,123.80 = 136,356.08/x
  3. Step 3: Cross multiply
    200,777.82x = 277,123.80 × 136,356.08
  4. Step 4: Simplify right side
    200,777.82x = 37,787,515,042.70
  5. Step 5: Solve for x
    x = 37,787,515,042.70/200,777.82
  6. Step 6: Final answer
    x = 188,205.62

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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.