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Finding the Fourth Proportional to 200,793.47, 277,092.41 and 114,751.49

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Solution

The fourth proportional to 200,793.47, 277,092.41 and 114,751.49 is: 158,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,793.47 : 277,092.41 = 114,751.49 : x
  2. Step 2: Convert to fraction form
    200,793.47/277,092.41 = 114,751.49/x
  3. Step 3: Cross multiply
    200,793.47x = 277,092.41 × 114,751.49
  4. Step 4: Simplify right side
    200,793.47x = 31,796,764,955.97
  5. Step 5: Solve for x
    x = 31,796,764,955.97/200,793.47
  6. Step 6: Final answer
    x = 158,355.58

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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.