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Finding the Fourth Proportional to 200,092.25, 300,106.94 and 65,161.19

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Solution

The fourth proportional to 200,092.25, 300,106.94 and 65,161.19 is: 97,731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,092.25 : 300,106.94 = 65,161.19 : x
  2. Step 2: Convert to fraction form
    200,092.25/300,106.94 = 65,161.19/x
  3. Step 3: Cross multiply
    200,092.25x = 300,106.94 × 65,161.19
  4. Step 4: Simplify right side
    200,092.25x = 19,555,325,762.12
  5. Step 5: Solve for x
    x = 19,555,325,762.12/200,092.25
  6. Step 6: Final answer
    x = 97,731.55

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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.