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Finding the Fourth Proportional to 228,974.83, 343,392.22 and 158,351.34

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Solution

The fourth proportional to 228,974.83, 343,392.22 and 158,351.34 is: 237,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,974.83 : 343,392.22 = 158,351.34 : x
  2. Step 2: Convert to fraction form
    228,974.83/343,392.22 = 158,351.34/x
  3. Step 3: Cross multiply
    228,974.83x = 343,392.22 × 158,351.34
  4. Step 4: Simplify right side
    228,974.83x = 54,376,618,182.57
  5. Step 5: Solve for x
    x = 54,376,618,182.57/228,974.83
  6. Step 6: Final answer
    x = 237,478.58

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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.