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Finding the Fourth Proportional to 233,251.80, 349,359.30 and 202,147.80

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Solution

The fourth proportional to 233,251.80, 349,359.30 and 202,147.80 is: 302,772.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,251.80 : 349,359.30 = 202,147.80 : x
  2. Step 2: Convert to fraction form
    233,251.80/349,359.30 = 202,147.80/x
  3. Step 3: Cross multiply
    233,251.80x = 349,359.30 × 202,147.80
  4. Step 4: Simplify right side
    233,251.80x = 70,622,213,904.54
  5. Step 5: Solve for x
    x = 70,622,213,904.54/233,251.80
  6. Step 6: Final answer
    x = 302,772.43

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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.