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Finding the Fourth Proportional to 263,596.52, 363,764.94 and 142,737.81

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Solution

The fourth proportional to 263,596.52, 363,764.94 and 142,737.81 is: 196,979.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,596.52 : 363,764.94 = 142,737.81 : x
  2. Step 2: Convert to fraction form
    263,596.52/363,764.94 = 142,737.81/x
  3. Step 3: Cross multiply
    263,596.52x = 363,764.94 × 142,737.81
  4. Step 4: Simplify right side
    263,596.52x = 51,923,010,890.38
  5. Step 5: Solve for x
    x = 51,923,010,890.38/263,596.52
  6. Step 6: Final answer
    x = 196,979.12

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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.