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Finding the Fourth Proportional to 202,577.52, 279,542.64 and 111,932.52

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Solution

The fourth proportional to 202,577.52, 279,542.64 and 111,932.52 is: 154,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,577.52 : 279,542.64 = 111,932.52 : x
  2. Step 2: Convert to fraction form
    202,577.52/279,542.64 = 111,932.52/x
  3. Step 3: Cross multiply
    202,577.52x = 279,542.64 × 111,932.52
  4. Step 4: Simplify right side
    202,577.52x = 31,289,912,142.65
  5. Step 5: Solve for x
    x = 31,289,912,142.65/202,577.52
  6. Step 6: Final answer
    x = 154,458.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.