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Finding the Fourth Proportional to 151,930.80, 227,896.20 and 134,434.80

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Solution

The fourth proportional to 151,930.80, 227,896.20 and 134,434.80 is: 201,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,930.80 : 227,896.20 = 134,434.80 : x
  2. Step 2: Convert to fraction form
    151,930.80/227,896.20 = 134,434.80/x
  3. Step 3: Cross multiply
    151,930.80x = 227,896.20 × 134,434.80
  4. Step 4: Simplify right side
    151,930.80x = 30,637,180,067.76
  5. Step 5: Solve for x
    x = 30,637,180,067.76/151,930.80
  6. Step 6: Final answer
    x = 201,652.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.