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Finding the Fourth Proportional to 268,003.16, 401,943.34 and 159,963

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Solution

The fourth proportional to 268,003.16, 401,943.34 and 159,963 is: 239,907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,003.16 : 401,943.34 = 159,963 : x
  2. Step 2: Convert to fraction form
    268,003.16/401,943.34 = 159,963/x
  3. Step 3: Cross multiply
    268,003.16x = 401,943.34 × 159,963
  4. Step 4: Simplify right side
    268,003.16x = 64,296,062,496.42
  5. Step 5: Solve for x
    x = 64,296,062,496.42/268,003.16
  6. Step 6: Final answer
    x = 239,907.85

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