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Finding the Fourth Proportional to 201,408.69, 277,938.44 and 110,764.65

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Solution

The fourth proportional to 201,408.69, 277,938.44 and 110,764.65 is: 152,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,408.69 : 277,938.44 = 110,764.65 : x
  2. Step 2: Convert to fraction form
    201,408.69/277,938.44 = 110,764.65/x
  3. Step 3: Cross multiply
    201,408.69x = 277,938.44 × 110,764.65
  4. Step 4: Simplify right side
    201,408.69x = 30,785,753,889.69
  5. Step 5: Solve for x
    x = 30,785,753,889.69/201,408.69
  6. Step 6: Final answer
    x = 152,852.16

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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.