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Finding the Fourth Proportional to 209,102.60, 313,665.92 and 59,331.17

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Solution

The fourth proportional to 209,102.60, 313,665.92 and 59,331.17 is: 89,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,102.60 : 313,665.92 = 59,331.17 : x
  2. Step 2: Convert to fraction form
    209,102.60/313,665.92 = 59,331.17/x
  3. Step 3: Cross multiply
    209,102.60x = 313,665.92 × 59,331.17
  4. Step 4: Simplify right side
    209,102.60x = 18,610,166,022.73
  5. Step 5: Solve for x
    x = 18,610,166,022.73/209,102.60
  6. Step 6: Final answer
    x = 89,000.17

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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.