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Finding the Fourth Proportional to 259,874.40, 390,103.20 and 200,971.20

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Solution

The fourth proportional to 259,874.40, 390,103.20 and 200,971.20 is: 301,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,874.40 : 390,103.20 = 200,971.20 : x
  2. Step 2: Convert to fraction form
    259,874.40/390,103.20 = 200,971.20/x
  3. Step 3: Cross multiply
    259,874.40x = 390,103.20 × 200,971.20
  4. Step 4: Simplify right side
    259,874.40x = 78,399,508,227.84
  5. Step 5: Solve for x
    x = 78,399,508,227.84/259,874.40
  6. Step 6: Final answer
    x = 301,682.31

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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.