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Finding the Fourth Proportional to 215,891.14, 297,929.01 and 120,395.38

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Solution

The fourth proportional to 215,891.14, 297,929.01 and 120,395.38 is: 166,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,891.14 : 297,929.01 = 120,395.38 : x
  2. Step 2: Convert to fraction form
    215,891.14/297,929.01 = 120,395.38/x
  3. Step 3: Cross multiply
    215,891.14x = 297,929.01 × 120,395.38
  4. Step 4: Simplify right side
    215,891.14x = 35,869,276,371.97
  5. Step 5: Solve for x
    x = 35,869,276,371.97/215,891.14
  6. Step 6: Final answer
    x = 166,145.20

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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.