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Finding the Fourth Proportional to 204,682.72, 307,086.12 and 104,913.64

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Solution

The fourth proportional to 204,682.72, 307,086.12 and 104,913.64 is: 157,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,682.72 : 307,086.12 = 104,913.64 : x
  2. Step 2: Convert to fraction form
    204,682.72/307,086.12 = 104,913.64/x
  3. Step 3: Cross multiply
    204,682.72x = 307,086.12 × 104,913.64
  4. Step 4: Simplify right side
    204,682.72x = 32,217,522,642.68
  5. Step 5: Solve for x
    x = 32,217,522,642.68/204,682.72
  6. Step 6: Final answer
    x = 157,402.26

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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.