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Finding the Fourth Proportional to 225,967, 311,235.85 and 168,421.91

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Solution

The fourth proportional to 225,967, 311,235.85 and 168,421.91 is: 231,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,967 : 311,235.85 = 168,421.91 : x
  2. Step 2: Convert to fraction form
    225,967/311,235.85 = 168,421.91/x
  3. Step 3: Cross multiply
    225,967x = 311,235.85 × 168,421.91
  4. Step 4: Simplify right side
    225,967x = 52,418,936,317.47
  5. Step 5: Solve for x
    x = 52,418,936,317.47/225,967
  6. Step 6: Final answer
    x = 231,976.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.