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Finding the Fourth Proportional to 202,207.90, 303,348.30 and 83,891.20

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Solution

The fourth proportional to 202,207.90, 303,348.30 and 83,891.20 is: 125,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,207.90 : 303,348.30 = 83,891.20 : x
  2. Step 2: Convert to fraction form
    202,207.90/303,348.30 = 83,891.20/x
  3. Step 3: Cross multiply
    202,207.90x = 303,348.30 × 83,891.20
  4. Step 4: Simplify right side
    202,207.90x = 25,448,252,904.96
  5. Step 5: Solve for x
    x = 25,448,252,904.96/202,207.90
  6. Step 6: Final answer
    x = 125,851.92

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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.