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Finding the Fourth Proportional to 201,408.14, 277,937.69 and 110,764.08

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Solution

The fourth proportional to 201,408.14, 277,937.69 and 110,764.08 is: 152,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,408.14 : 277,937.69 = 110,764.08 : x
  2. Step 2: Convert to fraction form
    201,408.14/277,937.69 = 110,764.08/x
  3. Step 3: Cross multiply
    201,408.14x = 277,937.69 × 110,764.08
  4. Step 4: Simplify right side
    201,408.14x = 30,785,511,976.35
  5. Step 5: Solve for x
    x = 30,785,511,976.35/201,408.14
  6. Step 6: Final answer
    x = 152,851.38

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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.