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Finding the Fourth Proportional to 270,296.10, 405,646.11 and 101,982.42

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Solution

The fourth proportional to 270,296.10, 405,646.11 and 101,982.42 is: 153,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,296.10 : 405,646.11 = 101,982.42 : x
  2. Step 2: Convert to fraction form
    270,296.10/405,646.11 = 101,982.42/x
  3. Step 3: Cross multiply
    270,296.10x = 405,646.11 × 101,982.42
  4. Step 4: Simplify right side
    270,296.10x = 41,368,771,961.39
  5. Step 5: Solve for x
    x = 41,368,771,961.39/270,296.10
  6. Step 6: Final answer
    x = 153,049.83

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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.