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Finding the Fourth Proportional to 231,313.08, 319,364.46 and 149,794.68

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Solution

The fourth proportional to 231,313.08, 319,364.46 and 149,794.68 is: 206,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,313.08 : 319,364.46 = 149,794.68 : x
  2. Step 2: Convert to fraction form
    231,313.08/319,364.46 = 149,794.68/x
  3. Step 3: Cross multiply
    231,313.08x = 319,364.46 × 149,794.68
  4. Step 4: Simplify right side
    231,313.08x = 47,839,097,089.07
  5. Step 5: Solve for x
    x = 47,839,097,089.07/231,313.08
  6. Step 6: Final answer
    x = 206,815.36

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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.