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Finding the Fourth Proportional to 234,465.06, 323,546.46 and 149,573

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Solution

The fourth proportional to 234,465.06, 323,546.46 and 149,573 is: 206,400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,465.06 : 323,546.46 = 149,573 : x
  2. Step 2: Convert to fraction form
    234,465.06/323,546.46 = 149,573/x
  3. Step 3: Cross multiply
    234,465.06x = 323,546.46 × 149,573
  4. Step 4: Simplify right side
    234,465.06x = 48,393,814,661.58
  5. Step 5: Solve for x
    x = 48,393,814,661.58/234,465.06
  6. Step 6: Final answer
    x = 206,400.97

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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.