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Finding the Fourth Proportional to 204,433.67, 282,116.30 and 113,788.19

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Solution

The fourth proportional to 204,433.67, 282,116.30 and 113,788.19 is: 157,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,433.67 : 282,116.30 = 113,788.19 : x
  2. Step 2: Convert to fraction form
    204,433.67/282,116.30 = 113,788.19/x
  3. Step 3: Cross multiply
    204,433.67x = 282,116.30 × 113,788.19
  4. Step 4: Simplify right side
    204,433.67x = 32,101,501,166.97
  5. Step 5: Solve for x
    x = 32,101,501,166.97/204,433.67
  6. Step 6: Final answer
    x = 157,026.49

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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.