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Finding the Fourth Proportional to 251,453.72, 346,921.18 and 142,546.38

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Solution

The fourth proportional to 251,453.72, 346,921.18 and 142,546.38 is: 196,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,453.72 : 346,921.18 = 142,546.38 : x
  2. Step 2: Convert to fraction form
    251,453.72/346,921.18 = 142,546.38/x
  3. Step 3: Cross multiply
    251,453.72x = 346,921.18 × 142,546.38
  4. Step 4: Simplify right side
    251,453.72x = 49,452,358,354.33
  5. Step 5: Solve for x
    x = 49,452,358,354.33/251,453.72
  6. Step 6: Final answer
    x = 196,665.85

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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.