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Finding the Fourth Proportional to 291,142.16, 401,683.44 and 163,793.15

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Solution

The fourth proportional to 291,142.16, 401,683.44 and 163,793.15 is: 225,982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,142.16 : 401,683.44 = 163,793.15 : x
  2. Step 2: Convert to fraction form
    291,142.16/401,683.44 = 163,793.15/x
  3. Step 3: Cross multiply
    291,142.16x = 401,683.44 × 163,793.15
  4. Step 4: Simplify right side
    291,142.16x = 65,792,993,932.02
  5. Step 5: Solve for x
    x = 65,792,993,932.02/291,142.16
  6. Step 6: Final answer
    x = 225,982.37

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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.