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Finding the Fourth Proportional to 204,643.98, 282,417.40 and 113,999.83

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Solution

The fourth proportional to 204,643.98, 282,417.40 and 113,999.83 is: 157,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,643.98 : 282,417.40 = 113,999.83 : x
  2. Step 2: Convert to fraction form
    204,643.98/282,417.40 = 113,999.83/x
  3. Step 3: Cross multiply
    204,643.98x = 282,417.40 × 113,999.83
  4. Step 4: Simplify right side
    204,643.98x = 32,195,536,295.09
  5. Step 5: Solve for x
    x = 32,195,536,295.09/204,643.98
  6. Step 6: Final answer
    x = 157,324.62

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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.