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Finding the Fourth Proportional to 205,016.30, 307,415.10 and 86,553.80

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Solution

The fourth proportional to 205,016.30, 307,415.10 and 86,553.80 is: 129,784.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,016.30 : 307,415.10 = 86,553.80 : x
  2. Step 2: Convert to fraction form
    205,016.30/307,415.10 = 86,553.80/x
  3. Step 3: Cross multiply
    205,016.30x = 307,415.10 × 86,553.80
  4. Step 4: Simplify right side
    205,016.30x = 26,607,945,082.38
  5. Step 5: Solve for x
    x = 26,607,945,082.38/205,016.30
  6. Step 6: Final answer
    x = 129,784.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.