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Finding the Fourth Proportional to 349,122.14, 481,788.86 and 198,219.14

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Solution

The fourth proportional to 349,122.14, 481,788.86 and 198,219.14 is: 273,542.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,122.14 : 481,788.86 = 198,219.14 : x
  2. Step 2: Convert to fraction form
    349,122.14/481,788.86 = 198,219.14/x
  3. Step 3: Cross multiply
    349,122.14x = 481,788.86 × 198,219.14
  4. Step 4: Simplify right side
    349,122.14x = 95,499,771,081.84
  5. Step 5: Solve for x
    x = 95,499,771,081.84/349,122.14
  6. Step 6: Final answer
    x = 273,542.58

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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.