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Finding the Fourth Proportional to 205,287.58, 283,294.01 and 119,295.15

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Solution

The fourth proportional to 205,287.58, 283,294.01 and 119,295.15 is: 164,625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,287.58 : 283,294.01 = 119,295.15 : x
  2. Step 2: Convert to fraction form
    205,287.58/283,294.01 = 119,295.15/x
  3. Step 3: Cross multiply
    205,287.58x = 283,294.01 × 119,295.15
  4. Step 4: Simplify right side
    205,287.58x = 33,795,600,652.94
  5. Step 5: Solve for x
    x = 33,795,600,652.94/205,287.58
  6. Step 6: Final answer
    x = 164,625.65

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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.