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Finding the Fourth Proportional to 204,666.17, 282,331.19 and 140,893.25

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Solution

The fourth proportional to 204,666.17, 282,331.19 and 140,893.25 is: 194,358.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,666.17 : 282,331.19 = 140,893.25 : x
  2. Step 2: Convert to fraction form
    204,666.17/282,331.19 = 140,893.25/x
  3. Step 3: Cross multiply
    204,666.17x = 282,331.19 × 140,893.25
  4. Step 4: Simplify right side
    204,666.17x = 39,778,557,876.04
  5. Step 5: Solve for x
    x = 39,778,557,876.04/204,666.17
  6. Step 6: Final answer
    x = 194,358.25

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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.