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Finding the Fourth Proportional to 277,164.82, 415,743.59 and 66,800.94

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Solution

The fourth proportional to 277,164.82, 415,743.59 and 66,800.94 is: 100,200.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,164.82 : 415,743.59 = 66,800.94 : x
  2. Step 2: Convert to fraction form
    277,164.82/415,743.59 = 66,800.94/x
  3. Step 3: Cross multiply
    277,164.82x = 415,743.59 × 66,800.94
  4. Step 4: Simplify right side
    277,164.82x = 27,772,062,610.97
  5. Step 5: Solve for x
    x = 27,772,062,610.97/277,164.82
  6. Step 6: Final answer
    x = 100,200.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.