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Finding the Fourth Proportional to 226,907.31, 313,217.75 and 178,382.64

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Solution

The fourth proportional to 226,907.31, 313,217.75 and 178,382.64 is: 246,235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,907.31 : 313,217.75 = 178,382.64 : x
  2. Step 2: Convert to fraction form
    226,907.31/313,217.75 = 178,382.64/x
  3. Step 3: Cross multiply
    226,907.31x = 313,217.75 × 178,382.64
  4. Step 4: Simplify right side
    226,907.31x = 55,872,609,139.86
  5. Step 5: Solve for x
    x = 55,872,609,139.86/226,907.31
  6. Step 6: Final answer
    x = 246,235.39

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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.