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Finding the Fourth Proportional to 201,297.34, 277,793.78 and 110,657.12

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Solution

The fourth proportional to 201,297.34, 277,793.78 and 110,657.12 is: 152,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,297.34 : 277,793.78 = 110,657.12 : x
  2. Step 2: Convert to fraction form
    201,297.34/277,793.78 = 110,657.12/x
  3. Step 3: Cross multiply
    201,297.34x = 277,793.78 × 110,657.12
  4. Step 4: Simplify right side
    201,297.34x = 30,739,859,891.50
  5. Step 5: Solve for x
    x = 30,739,859,891.50/201,297.34
  6. Step 6: Final answer
    x = 152,708.73

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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.