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Finding the Fourth Proportional to 291,241.84, 401,921.76 and 163,921.84

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Solution

The fourth proportional to 291,241.84, 401,921.76 and 163,921.84 is: 226,216.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,241.84 : 401,921.76 = 163,921.84 : x
  2. Step 2: Convert to fraction form
    291,241.84/401,921.76 = 163,921.84/x
  3. Step 3: Cross multiply
    291,241.84x = 401,921.76 × 163,921.84
  4. Step 4: Simplify right side
    291,241.84x = 65,883,754,435.24
  5. Step 5: Solve for x
    x = 65,883,754,435.24/291,241.84
  6. Step 6: Final answer
    x = 226,216.65

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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.