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Finding the Fourth Proportional to 205,289.84, 283,297.13 and 119,297.41

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Solution

The fourth proportional to 205,289.84, 283,297.13 and 119,297.41 is: 164,628.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,289.84 : 283,297.13 = 119,297.41 : x
  2. Step 2: Convert to fraction form
    205,289.84/283,297.13 = 119,297.41/x
  3. Step 3: Cross multiply
    205,289.84x = 283,297.13 × 119,297.41
  4. Step 4: Simplify right side
    205,289.84x = 33,796,613,012.07
  5. Step 5: Solve for x
    x = 33,796,613,012.07/205,289.84
  6. Step 6: Final answer
    x = 164,628.76

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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.