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Finding the Fourth Proportional to 200,225.80, 276,284.34 and 119,636.30

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Solution

The fourth proportional to 200,225.80, 276,284.34 and 119,636.30 is: 165,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,225.80 : 276,284.34 = 119,636.30 : x
  2. Step 2: Convert to fraction form
    200,225.80/276,284.34 = 119,636.30/x
  3. Step 3: Cross multiply
    200,225.80x = 276,284.34 × 119,636.30
  4. Step 4: Simplify right side
    200,225.80x = 33,053,636,185.54
  5. Step 5: Solve for x
    x = 33,053,636,185.54/200,225.80
  6. Step 6: Final answer
    x = 165,081.80

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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.