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Finding the Fourth Proportional to 204,478.34, 306,780.11 and 104,709.17

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Solution

The fourth proportional to 204,478.34, 306,780.11 and 104,709.17 is: 157,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,478.34 : 306,780.11 = 104,709.17 : x
  2. Step 2: Convert to fraction form
    204,478.34/306,780.11 = 104,709.17/x
  3. Step 3: Cross multiply
    204,478.34x = 306,780.11 × 104,709.17
  4. Step 4: Simplify right side
    204,478.34x = 32,122,692,294.54
  5. Step 5: Solve for x
    x = 32,122,692,294.54/204,478.34
  6. Step 6: Final answer
    x = 157,095.82

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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.