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Finding the Fourth Proportional to 282,117.32, 389,321.84 and 161,261.20

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Solution

The fourth proportional to 282,117.32, 389,321.84 and 161,261.20 is: 222,540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,117.32 : 389,321.84 = 161,261.20 : x
  2. Step 2: Convert to fraction form
    282,117.32/389,321.84 = 161,261.20/x
  3. Step 3: Cross multiply
    282,117.32x = 389,321.84 × 161,261.20
  4. Step 4: Simplify right side
    282,117.32x = 62,782,507,104.61
  5. Step 5: Solve for x
    x = 62,782,507,104.61/282,117.32
  6. Step 6: Final answer
    x = 222,540.42

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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.