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Finding the Fourth Proportional to 291,161.64, 401,809.20 and 163,837.20

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Solution

The fourth proportional to 291,161.64, 401,809.20 and 163,837.20 is: 226,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,161.64 : 401,809.20 = 163,837.20 : x
  2. Step 2: Convert to fraction form
    291,161.64/401,809.20 = 163,837.20/x
  3. Step 3: Cross multiply
    291,161.64x = 401,809.20 × 163,837.20
  4. Step 4: Simplify right side
    291,161.64x = 65,831,294,262.24
  5. Step 5: Solve for x
    x = 65,831,294,262.24/291,161.64
  6. Step 6: Final answer
    x = 226,098.79

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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.