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Finding the Fourth Proportional to 200,382.18, 300,365.91 and 95,121.06

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Solution

The fourth proportional to 200,382.18, 300,365.91 and 95,121.06 is: 142,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,382.18 : 300,365.91 = 95,121.06 : x
  2. Step 2: Convert to fraction form
    200,382.18/300,365.91 = 95,121.06/x
  3. Step 3: Cross multiply
    200,382.18x = 300,365.91 × 95,121.06
  4. Step 4: Simplify right side
    200,382.18x = 28,571,123,747.06
  5. Step 5: Solve for x
    x = 28,571,123,747.06/200,382.18
  6. Step 6: Final answer
    x = 142,583.16

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Why These Related Problems?

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