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Finding the Fourth Proportional to 201,297.41, 277,793.88 and 110,657.20

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Solution

The fourth proportional to 201,297.41, 277,793.88 and 110,657.20 is: 152,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,297.41 : 277,793.88 = 110,657.20 : x
  2. Step 2: Convert to fraction form
    201,297.41/277,793.88 = 110,657.20/x
  3. Step 3: Cross multiply
    201,297.41x = 277,793.88 × 110,657.20
  4. Step 4: Simplify right side
    201,297.41x = 30,739,891,548.97
  5. Step 5: Solve for x
    x = 30,739,891,548.97/201,297.41
  6. Step 6: Final answer
    x = 152,708.83

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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.