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Finding the Fourth Proportional to 205,620.98, 283,817.30 and 119,600.19

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Solution

The fourth proportional to 205,620.98, 283,817.30 and 119,600.19 is: 165,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,620.98 : 283,817.30 = 119,600.19 : x
  2. Step 2: Convert to fraction form
    205,620.98/283,817.30 = 119,600.19/x
  3. Step 3: Cross multiply
    205,620.98x = 283,817.30 × 119,600.19
  4. Step 4: Simplify right side
    205,620.98x = 33,944,602,407.29
  5. Step 5: Solve for x
    x = 33,944,602,407.29/205,620.98
  6. Step 6: Final answer
    x = 165,083.36

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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.