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Finding the Fourth Proportional to 291,265.26, 401,931.07 and 163,949.05

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Solution

The fourth proportional to 291,265.26, 401,931.07 and 163,949.05 is: 226,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,265.26 : 401,931.07 = 163,949.05 : x
  2. Step 2: Convert to fraction form
    291,265.26/401,931.07 = 163,949.05/x
  3. Step 3: Cross multiply
    291,265.26x = 401,931.07 × 163,949.05
  4. Step 4: Simplify right side
    291,265.26x = 65,896,217,091.98
  5. Step 5: Solve for x
    x = 65,896,217,091.98/291,265.26
  6. Step 6: Final answer
    x = 226,241.25

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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.