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Finding the Fourth Proportional to 202,107.80, 303,271.05 and 83,791.10

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Solution

The fourth proportional to 202,107.80, 303,271.05 and 83,791.10 is: 125,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,107.80 : 303,271.05 = 83,791.10 : x
  2. Step 2: Convert to fraction form
    202,107.80/303,271.05 = 83,791.10/x
  3. Step 3: Cross multiply
    202,107.80x = 303,271.05 × 83,791.10
  4. Step 4: Simplify right side
    202,107.80x = 25,411,414,877.66
  5. Step 5: Solve for x
    x = 25,411,414,877.66/202,107.80
  6. Step 6: Final answer
    x = 125,731.98

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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.