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Finding the Fourth Proportional to 205,433.30, 308,149.97 and 134,415.61

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Solution

The fourth proportional to 205,433.30, 308,149.97 and 134,415.61 is: 201,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,433.30 : 308,149.97 = 134,415.61 : x
  2. Step 2: Convert to fraction form
    205,433.30/308,149.97 = 134,415.61/x
  3. Step 3: Cross multiply
    205,433.30x = 308,149.97 × 134,415.61
  4. Step 4: Simplify right side
    205,433.30x = 41,420,164,746.58
  5. Step 5: Solve for x
    x = 41,420,164,746.58/205,433.30
  6. Step 6: Final answer
    x = 201,623.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.