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Finding the Fourth Proportional to 238,311.44, 328,898.94 and 137,709.44

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Solution

The fourth proportional to 238,311.44, 328,898.94 and 137,709.44 is: 190,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,311.44 : 328,898.94 = 137,709.44 : x
  2. Step 2: Convert to fraction form
    238,311.44/328,898.94 = 137,709.44/x
  3. Step 3: Cross multiply
    238,311.44x = 328,898.94 × 137,709.44
  4. Step 4: Simplify right side
    238,311.44x = 45,292,488,843.99
  5. Step 5: Solve for x
    x = 45,292,488,843.99/238,311.44
  6. Step 6: Final answer
    x = 190,055.87

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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.