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Finding the Fourth Proportional to 226,893.06, 312,880.38 and 150,385.62

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Solution

The fourth proportional to 226,893.06, 312,880.38 and 150,385.62 is: 207,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,893.06 : 312,880.38 = 150,385.62 : x
  2. Step 2: Convert to fraction form
    226,893.06/312,880.38 = 150,385.62/x
  3. Step 3: Cross multiply
    226,893.06x = 312,880.38 × 150,385.62
  4. Step 4: Simplify right side
    226,893.06x = 47,052,709,932.14
  5. Step 5: Solve for x
    x = 47,052,709,932.14/226,893.06
  6. Step 6: Final answer
    x = 207,378.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.