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Finding the Fourth Proportional to 268,002.16, 401,941.84 and 159,962

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Solution

The fourth proportional to 268,002.16, 401,941.84 and 159,962 is: 239,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,002.16 : 401,941.84 = 159,962 : x
  2. Step 2: Convert to fraction form
    268,002.16/401,941.84 = 159,962/x
  3. Step 3: Cross multiply
    268,002.16x = 401,941.84 × 159,962
  4. Step 4: Simplify right side
    268,002.16x = 64,295,420,610.08
  5. Step 5: Solve for x
    x = 64,295,420,610.08/268,002.16
  6. Step 6: Final answer
    x = 239,906.35

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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.