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Finding the Fourth Proportional to 157,408.20, 217,216.94 and 85,786.65

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Solution

The fourth proportional to 157,408.20, 217,216.94 and 85,786.65 is: 118,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,408.20 : 217,216.94 = 85,786.65 : x
  2. Step 2: Convert to fraction form
    157,408.20/217,216.94 = 85,786.65/x
  3. Step 3: Cross multiply
    157,408.20x = 217,216.94 × 85,786.65
  4. Step 4: Simplify right side
    157,408.20x = 18,634,313,176.92
  5. Step 5: Solve for x
    x = 18,634,313,176.92/157,408.20
  6. Step 6: Final answer
    x = 118,382.10

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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.