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Finding the Fourth Proportional to 205,835.40, 308,753.10 and 100,600.20

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Solution

The fourth proportional to 205,835.40, 308,753.10 and 100,600.20 is: 150,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,835.40 : 308,753.10 = 100,600.20 : x
  2. Step 2: Convert to fraction form
    205,835.40/308,753.10 = 100,600.20/x
  3. Step 3: Cross multiply
    205,835.40x = 308,753.10 × 100,600.20
  4. Step 4: Simplify right side
    205,835.40x = 31,060,623,610.62
  5. Step 5: Solve for x
    x = 31,060,623,610.62/205,835.40
  6. Step 6: Final answer
    x = 150,900.30

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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.