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Finding the Fourth Proportional to 235,997.81, 353,865.49 and 78,140.15

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Solution

The fourth proportional to 235,997.81, 353,865.49 and 78,140.15 is: 117,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,997.81 : 353,865.49 = 78,140.15 : x
  2. Step 2: Convert to fraction form
    235,997.81/353,865.49 = 78,140.15/x
  3. Step 3: Cross multiply
    235,997.81x = 353,865.49 × 78,140.15
  4. Step 4: Simplify right side
    235,997.81x = 27,651,102,468.42
  5. Step 5: Solve for x
    x = 27,651,102,468.42/235,997.81
  6. Step 6: Final answer
    x = 117,166.78

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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.