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Finding the Fourth Proportional to 202,355.82, 279,251.10 and 111,711.84

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Solution

The fourth proportional to 202,355.82, 279,251.10 and 111,711.84 is: 154,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,355.82 : 279,251.10 = 111,711.84 : x
  2. Step 2: Convert to fraction form
    202,355.82/279,251.10 = 111,711.84/x
  3. Step 3: Cross multiply
    202,355.82x = 279,251.10 × 111,711.84
  4. Step 4: Simplify right side
    202,355.82x = 31,195,654,203.02
  5. Step 5: Solve for x
    x = 31,195,654,203.02/202,355.82
  6. Step 6: Final answer
    x = 154,162.38

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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.