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Finding the Fourth Proportional to 279,902.45, 420,016.25 and 117,784.54

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Solution

The fourth proportional to 279,902.45, 420,016.25 and 117,784.54 is: 176,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,902.45 : 420,016.25 = 117,784.54 : x
  2. Step 2: Convert to fraction form
    279,902.45/420,016.25 = 117,784.54/x
  3. Step 3: Cross multiply
    279,902.45x = 420,016.25 × 117,784.54
  4. Step 4: Simplify right side
    279,902.45x = 49,471,420,798.78
  5. Step 5: Solve for x
    x = 49,471,420,798.78/279,902.45
  6. Step 6: Final answer
    x = 176,745.22

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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.