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Finding the Fourth Proportional to 225,785.42, 338,013.76 and 150,719.38

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Solution

The fourth proportional to 225,785.42, 338,013.76 and 150,719.38 is: 225,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,785.42 : 338,013.76 = 150,719.38 : x
  2. Step 2: Convert to fraction form
    225,785.42/338,013.76 = 150,719.38/x
  3. Step 3: Cross multiply
    225,785.42x = 338,013.76 × 150,719.38
  4. Step 4: Simplify right side
    225,785.42x = 50,945,224,338.67
  5. Step 5: Solve for x
    x = 50,945,224,338.67/225,785.42
  6. Step 6: Final answer
    x = 225,635.58

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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.