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Finding the Fourth Proportional to 208,814.52, 313,219.08 and 51,044.36

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Solution

The fourth proportional to 208,814.52, 313,219.08 and 51,044.36 is: 76,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,814.52 : 313,219.08 = 51,044.36 : x
  2. Step 2: Convert to fraction form
    208,814.52/313,219.08 = 51,044.36/x
  3. Step 3: Cross multiply
    208,814.52x = 313,219.08 × 51,044.36
  4. Step 4: Simplify right side
    208,814.52x = 15,988,067,478.39
  5. Step 5: Solve for x
    x = 15,988,067,478.39/208,814.52
  6. Step 6: Final answer
    x = 76,565.88

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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.