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Finding the Fourth Proportional to 201,793.47, 278,494.64 and 150,717.52

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Solution

The fourth proportional to 201,793.47, 278,494.64 and 150,717.52 is: 208,004.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,793.47 : 278,494.64 = 150,717.52 : x
  2. Step 2: Convert to fraction form
    201,793.47/278,494.64 = 150,717.52/x
  3. Step 3: Cross multiply
    201,793.47x = 278,494.64 × 150,717.52
  4. Step 4: Simplify right side
    201,793.47x = 41,974,021,474.09
  5. Step 5: Solve for x
    x = 41,974,021,474.09/201,793.47
  6. Step 6: Final answer
    x = 208,004.86

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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.