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Finding the Fourth Proportional to 227,990.15, 314,463.19 and 160,022.28

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Solution

The fourth proportional to 227,990.15, 314,463.19 and 160,022.28 is: 220,716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,990.15 : 314,463.19 = 160,022.28 : x
  2. Step 2: Convert to fraction form
    227,990.15/314,463.19 = 160,022.28/x
  3. Step 3: Cross multiply
    227,990.15x = 314,463.19 × 160,022.28
  4. Step 4: Simplify right side
    227,990.15x = 50,321,116,639.87
  5. Step 5: Solve for x
    x = 50,321,116,639.87/227,990.15
  6. Step 6: Final answer
    x = 220,716.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.