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Finding the Fourth Proportional to 201,044.69, 277,444.85 and 109,163.92

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Solution

The fourth proportional to 201,044.69, 277,444.85 and 109,163.92 is: 150,647.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,044.69 : 277,444.85 = 109,163.92 : x
  2. Step 2: Convert to fraction form
    201,044.69/277,444.85 = 109,163.92/x
  3. Step 3: Cross multiply
    201,044.69x = 277,444.85 × 109,163.92
  4. Step 4: Simplify right side
    201,044.69x = 30,286,966,170.38
  5. Step 5: Solve for x
    x = 30,286,966,170.38/201,044.69
  6. Step 6: Final answer
    x = 150,647.93

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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.