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Finding the Fourth Proportional to 251,376.14, 346,890.21 and 138,198.02

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Solution

The fourth proportional to 251,376.14, 346,890.21 and 138,198.02 is: 190,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,376.14 : 346,890.21 = 138,198.02 : x
  2. Step 2: Convert to fraction form
    251,376.14/346,890.21 = 138,198.02/x
  3. Step 3: Cross multiply
    251,376.14x = 346,890.21 × 138,198.02
  4. Step 4: Simplify right side
    251,376.14x = 47,939,540,179.38
  5. Step 5: Solve for x
    x = 47,939,540,179.38/251,376.14
  6. Step 6: Final answer
    x = 190,708.39

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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.