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Finding the Fourth Proportional to 208,812.52, 313,216.08 and 51,042.36

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Solution

The fourth proportional to 208,812.52, 313,216.08 and 51,042.36 is: 76,562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,812.52 : 313,216.08 = 51,042.36 : x
  2. Step 2: Convert to fraction form
    208,812.52/313,216.08 = 51,042.36/x
  3. Step 3: Cross multiply
    208,812.52x = 313,216.08 × 51,042.36
  4. Step 4: Simplify right side
    208,812.52x = 15,987,287,913.15
  5. Step 5: Solve for x
    x = 15,987,287,913.15/208,812.52
  6. Step 6: Final answer
    x = 76,562.88

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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.