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Finding the Fourth Proportional to 200,324.40, 300,049.20 and 121,300.80

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Solution

The fourth proportional to 200,324.40, 300,049.20 and 121,300.80 is: 181,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,324.40 : 300,049.20 = 121,300.80 : x
  2. Step 2: Convert to fraction form
    200,324.40/300,049.20 = 121,300.80/x
  3. Step 3: Cross multiply
    200,324.40x = 300,049.20 × 121,300.80
  4. Step 4: Simplify right side
    200,324.40x = 36,396,207,999.36
  5. Step 5: Solve for x
    x = 36,396,207,999.36/200,324.40
  6. Step 6: Final answer
    x = 181,686.34

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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.