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Finding the Fourth Proportional to 231,205.78, 319,054.17 and 145,209.70

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Solution

The fourth proportional to 231,205.78, 319,054.17 and 145,209.70 is: 200,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,205.78 : 319,054.17 = 145,209.70 : x
  2. Step 2: Convert to fraction form
    231,205.78/319,054.17 = 145,209.70/x
  3. Step 3: Cross multiply
    231,205.78x = 319,054.17 × 145,209.70
  4. Step 4: Simplify right side
    231,205.78x = 46,329,760,309.45
  5. Step 5: Solve for x
    x = 46,329,760,309.45/231,205.78
  6. Step 6: Final answer
    x = 200,383.23

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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.