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Finding the Fourth Proportional to 291,163.64, 401,773.26 and 163,883

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Solution

The fourth proportional to 291,163.64, 401,773.26 and 163,883 is: 226,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,163.64 : 401,773.26 = 163,883 : x
  2. Step 2: Convert to fraction form
    291,163.64/401,773.26 = 163,883/x
  3. Step 3: Cross multiply
    291,163.64x = 401,773.26 × 163,883
  4. Step 4: Simplify right side
    291,163.64x = 65,843,807,168.58
  5. Step 5: Solve for x
    x = 65,843,807,168.58/291,163.64
  6. Step 6: Final answer
    x = 226,140.21

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Why These Related Problems?

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