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Finding the Fourth Proportional to 200,781.45, 301,022.39 and 120,800.69

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Solution

The fourth proportional to 200,781.45, 301,022.39 and 120,800.69 is: 181,110.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,781.45 : 301,022.39 = 120,800.69 : x
  2. Step 2: Convert to fraction form
    200,781.45/301,022.39 = 120,800.69/x
  3. Step 3: Cross multiply
    200,781.45x = 301,022.39 × 120,800.69
  4. Step 4: Simplify right side
    200,781.45x = 36,363,711,214.34
  5. Step 5: Solve for x
    x = 36,363,711,214.34/200,781.45
  6. Step 6: Final answer
    x = 181,110.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.