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Finding the Fourth Proportional to 226,682.46, 312,815.52 and 123,313.22

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Solution

The fourth proportional to 226,682.46, 312,815.52 and 123,313.22 is: 170,168.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,682.46 : 312,815.52 = 123,313.22 : x
  2. Step 2: Convert to fraction form
    226,682.46/312,815.52 = 123,313.22/x
  3. Step 3: Cross multiply
    226,682.46x = 312,815.52 × 123,313.22
  4. Step 4: Simplify right side
    226,682.46x = 38,574,287,473.10
  5. Step 5: Solve for x
    x = 38,574,287,473.10/226,682.46
  6. Step 6: Final answer
    x = 170,168.82

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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.