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Finding the Fourth Proportional to 226,822, 340,282.17 and 69,046.33

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Solution

The fourth proportional to 226,822, 340,282.17 and 69,046.33 is: 103,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,822 : 340,282.17 = 69,046.33 : x
  2. Step 2: Convert to fraction form
    226,822/340,282.17 = 69,046.33/x
  3. Step 3: Cross multiply
    226,822x = 340,282.17 × 69,046.33
  4. Step 4: Simplify right side
    226,822x = 23,495,235,002.94
  5. Step 5: Solve for x
    x = 23,495,235,002.94/226,822
  6. Step 6: Final answer
    x = 103,584.46

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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.