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Finding the Fourth Proportional to 205,738.34, 283,949.14 and 125,150.22

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Solution

The fourth proportional to 205,738.34, 283,949.14 and 125,150.22 is: 172,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,738.34 : 283,949.14 = 125,150.22 : x
  2. Step 2: Convert to fraction form
    205,738.34/283,949.14 = 125,150.22/x
  3. Step 3: Cross multiply
    205,738.34x = 283,949.14 × 125,150.22
  4. Step 4: Simplify right side
    205,738.34x = 35,536,297,339.81
  5. Step 5: Solve for x
    x = 35,536,297,339.81/205,738.34
  6. Step 6: Final answer
    x = 172,725.69

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