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Finding the Fourth Proportional to 205,680.76, 307,667.92 and 193,083.64

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Solution

The fourth proportional to 205,680.76, 307,667.92 and 193,083.64 is: 288,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,680.76 : 307,667.92 = 193,083.64 : x
  2. Step 2: Convert to fraction form
    205,680.76/307,667.92 = 193,083.64/x
  3. Step 3: Cross multiply
    205,680.76x = 307,667.92 × 193,083.64
  4. Step 4: Simplify right side
    205,680.76x = 59,405,641,904.83
  5. Step 5: Solve for x
    x = 59,405,641,904.83/205,680.76
  6. Step 6: Final answer
    x = 288,824.50

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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.