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Finding the Fourth Proportional to 270,135.21, 404,921.24 and 101,539.38

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Solution

The fourth proportional to 270,135.21, 404,921.24 and 101,539.38 is: 152,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,135.21 : 404,921.24 = 101,539.38 : x
  2. Step 2: Convert to fraction form
    270,135.21/404,921.24 = 101,539.38/x
  3. Step 3: Cross multiply
    270,135.21x = 404,921.24 × 101,539.38
  4. Step 4: Simplify right side
    270,135.21x = 41,115,451,658.43
  5. Step 5: Solve for x
    x = 41,115,451,658.43/270,135.21
  6. Step 6: Final answer
    x = 152,203.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.