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Finding the Fourth Proportional to 114,216.86, 157,633.97 and 68,919.30

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Solution

The fourth proportional to 114,216.86, 157,633.97 and 68,919.30 is: 95,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,216.86 : 157,633.97 = 68,919.30 : x
  2. Step 2: Convert to fraction form
    114,216.86/157,633.97 = 68,919.30/x
  3. Step 3: Cross multiply
    114,216.86x = 157,633.97 × 68,919.30
  4. Step 4: Simplify right side
    114,216.86x = 10,864,022,524.02
  5. Step 5: Solve for x
    x = 10,864,022,524.02/114,216.86
  6. Step 6: Final answer
    x = 95,117.50

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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.