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Finding the Fourth Proportional to 114,234.38, 157,621.57 and 73,942.55

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Solution

The fourth proportional to 114,234.38, 157,621.57 and 73,942.55 is: 102,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,234.38 : 157,621.57 = 73,942.55 : x
  2. Step 2: Convert to fraction form
    114,234.38/157,621.57 = 73,942.55/x
  3. Step 3: Cross multiply
    114,234.38x = 157,621.57 × 73,942.55
  4. Step 4: Simplify right side
    114,234.38x = 11,654,939,847.84
  5. Step 5: Solve for x
    x = 11,654,939,847.84/114,234.38
  6. Step 6: Final answer
    x = 102,026.56

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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.