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Finding the Fourth Proportional to 227,093.64, 313,403.22 and 126,491.64

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Solution

The fourth proportional to 227,093.64, 313,403.22 and 126,491.64 is: 174,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,093.64 : 313,403.22 = 126,491.64 : x
  2. Step 2: Convert to fraction form
    227,093.64/313,403.22 = 126,491.64/x
  3. Step 3: Cross multiply
    227,093.64x = 313,403.22 × 126,491.64
  4. Step 4: Simplify right side
    227,093.64x = 39,642,887,279.08
  5. Step 5: Solve for x
    x = 39,642,887,279.08/227,093.64
  6. Step 6: Final answer
    x = 174,566.26

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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.