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Finding the Fourth Proportional to 204,032.80, 306,049.20 and 141,047.20

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Solution

The fourth proportional to 204,032.80, 306,049.20 and 141,047.20 is: 211,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,032.80 : 306,049.20 = 141,047.20 : x
  2. Step 2: Convert to fraction form
    204,032.80/306,049.20 = 141,047.20/x
  3. Step 3: Cross multiply
    204,032.80x = 306,049.20 × 141,047.20
  4. Step 4: Simplify right side
    204,032.80x = 43,167,382,722.24
  5. Step 5: Solve for x
    x = 43,167,382,722.24/204,032.80
  6. Step 6: Final answer
    x = 211,570.80

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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.