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Finding the Fourth Proportional to 270,906.72, 406,398.08 and 113,099.28

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Solution

The fourth proportional to 270,906.72, 406,398.08 and 113,099.28 is: 169,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,906.72 : 406,398.08 = 113,099.28 : x
  2. Step 2: Convert to fraction form
    270,906.72/406,398.08 = 113,099.28/x
  3. Step 3: Cross multiply
    270,906.72x = 406,398.08 × 113,099.28
  4. Step 4: Simplify right side
    270,906.72x = 45,963,330,241.38
  5. Step 5: Solve for x
    x = 45,963,330,241.38/270,906.72
  6. Step 6: Final answer
    x = 169,664.78

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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.