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Finding the Fourth Proportional to 263,381.83, 363,467.86 and 142,523.11

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Solution

The fourth proportional to 263,381.83, 363,467.86 and 142,523.11 is: 196,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,381.83 : 363,467.86 = 142,523.11 : x
  2. Step 2: Convert to fraction form
    263,381.83/363,467.86 = 142,523.11/x
  3. Step 3: Cross multiply
    263,381.83x = 363,467.86 × 142,523.11
  4. Step 4: Simplify right side
    263,381.83x = 51,802,569,890.27
  5. Step 5: Solve for x
    x = 51,802,569,890.27/263,381.83
  6. Step 6: Final answer
    x = 196,682.40

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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.