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Finding the Fourth Proportional to 205,290.84, 283,298.51 and 119,298.41

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Solution

The fourth proportional to 205,290.84, 283,298.51 and 119,298.41 is: 164,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,290.84 : 283,298.51 = 119,298.41 : x
  2. Step 2: Convert to fraction form
    205,290.84/283,298.51 = 119,298.41/x
  3. Step 3: Cross multiply
    205,290.84x = 283,298.51 × 119,298.41
  4. Step 4: Simplify right side
    205,290.84x = 33,797,061,798.37
  5. Step 5: Solve for x
    x = 33,797,061,798.37/205,290.84
  6. Step 6: Final answer
    x = 164,630.15

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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.