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Finding the Fourth Proportional to 291,935.85, 402,871.52 and 164,611.44

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Solution

The fourth proportional to 291,935.85, 402,871.52 and 164,611.44 is: 227,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,935.85 : 402,871.52 = 164,611.44 : x
  2. Step 2: Convert to fraction form
    291,935.85/402,871.52 = 164,611.44/x
  3. Step 3: Cross multiply
    291,935.85x = 402,871.52 × 164,611.44
  4. Step 4: Simplify right side
    291,935.85x = 66,317,261,453.72
  5. Step 5: Solve for x
    x = 66,317,261,453.72/291,935.85
  6. Step 6: Final answer
    x = 227,163.82

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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.