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Finding the Fourth Proportional to 204,894, 282,732.96 and 114,241.36

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Solution

The fourth proportional to 204,894, 282,732.96 and 114,241.36 is: 157,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,894 : 282,732.96 = 114,241.36 : x
  2. Step 2: Convert to fraction form
    204,894/282,732.96 = 114,241.36/x
  3. Step 3: Cross multiply
    204,894x = 282,732.96 × 114,241.36
  4. Step 4: Simplify right side
    204,894x = 32,299,797,867.23
  5. Step 5: Solve for x
    x = 32,299,797,867.23/204,894
  6. Step 6: Final answer
    x = 157,641.50

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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.