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Finding the Fourth Proportional to 204,670.98, 282,438.81 and 114,022.26

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Solution

The fourth proportional to 204,670.98, 282,438.81 and 114,022.26 is: 157,346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,670.98 : 282,438.81 = 114,022.26 : x
  2. Step 2: Convert to fraction form
    204,670.98/282,438.81 = 114,022.26/x
  3. Step 3: Cross multiply
    204,670.98x = 282,438.81 × 114,022.26
  4. Step 4: Simplify right side
    204,670.98x = 32,204,311,427.91
  5. Step 5: Solve for x
    x = 32,204,311,427.91/204,670.98
  6. Step 6: Final answer
    x = 157,346.74

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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.