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Finding the Fourth Proportional to 78,111.69, 117,354.46 and 50,086.65

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Solution

The fourth proportional to 78,111.69, 117,354.46 and 50,086.65 is: 75,249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,111.69 : 117,354.46 = 50,086.65 : x
  2. Step 2: Convert to fraction form
    78,111.69/117,354.46 = 50,086.65/x
  3. Step 3: Cross multiply
    78,111.69x = 117,354.46 × 50,086.65
  4. Step 4: Simplify right side
    78,111.69x = 5,877,892,266.65
  5. Step 5: Solve for x
    x = 5,877,892,266.65/78,111.69
  6. Step 6: Final answer
    x = 75,249.84

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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.