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Finding the Fourth Proportional to 204,109.76, 306,170.40 and 56,365.76

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Solution

The fourth proportional to 204,109.76, 306,170.40 and 56,365.76 is: 84,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,109.76 : 306,170.40 = 56,365.76 : x
  2. Step 2: Convert to fraction form
    204,109.76/306,170.40 = 56,365.76/x
  3. Step 3: Cross multiply
    204,109.76x = 306,170.40 × 56,365.76
  4. Step 4: Simplify right side
    204,109.76x = 17,257,527,285.50
  5. Step 5: Solve for x
    x = 17,257,527,285.50/204,109.76
  6. Step 6: Final answer
    x = 84,550.23

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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.