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Finding the Fourth Proportional to 197,398.14, 272,408.65 and 106,754.21

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Solution

The fourth proportional to 197,398.14, 272,408.65 and 106,754.21 is: 147,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,398.14 : 272,408.65 = 106,754.21 : x
  2. Step 2: Convert to fraction form
    197,398.14/272,408.65 = 106,754.21/x
  3. Step 3: Cross multiply
    197,398.14x = 272,408.65 × 106,754.21
  4. Step 4: Simplify right side
    197,398.14x = 29,080,768,865.87
  5. Step 5: Solve for x
    x = 29,080,768,865.87/197,398.14
  6. Step 6: Final answer
    x = 147,320.38

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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.