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Finding the Fourth Proportional to 202,964.85, 279,768.83 and 159,876.08

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Solution

The fourth proportional to 202,964.85, 279,768.83 and 159,876.08 is: 220,374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,964.85 : 279,768.83 = 159,876.08 : x
  2. Step 2: Convert to fraction form
    202,964.85/279,768.83 = 159,876.08/x
  3. Step 3: Cross multiply
    202,964.85x = 279,768.83 × 159,876.08
  4. Step 4: Simplify right side
    202,964.85x = 44,728,343,846.59
  5. Step 5: Solve for x
    x = 44,728,343,846.59/202,964.85
  6. Step 6: Final answer
    x = 220,374.83

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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.