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Finding the Fourth Proportional to 281,312.60, 422,163.30 and 202,494.20

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Solution

The fourth proportional to 281,312.60, 422,163.30 and 202,494.20 is: 303,881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,312.60 : 422,163.30 = 202,494.20 : x
  2. Step 2: Convert to fraction form
    281,312.60/422,163.30 = 202,494.20/x
  3. Step 3: Cross multiply
    281,312.60x = 422,163.30 × 202,494.20
  4. Step 4: Simplify right side
    281,312.60x = 85,485,619,702.86
  5. Step 5: Solve for x
    x = 85,485,619,702.86/281,312.60
  6. Step 6: Final answer
    x = 303,881.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.