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Finding the Fourth Proportional to 200,914.70, 277,242.06 and 120,340.15

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Solution

The fourth proportional to 200,914.70, 277,242.06 and 120,340.15 is: 166,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,914.70 : 277,242.06 = 120,340.15 : x
  2. Step 2: Convert to fraction form
    200,914.70/277,242.06 = 120,340.15/x
  3. Step 3: Cross multiply
    200,914.70x = 277,242.06 × 120,340.15
  4. Step 4: Simplify right side
    200,914.70x = 33,363,350,167.97
  5. Step 5: Solve for x
    x = 33,363,350,167.97/200,914.70
  6. Step 6: Final answer
    x = 166,057.29

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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.