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Finding the Fourth Proportional to 205,610.40, 308,415.60 and 158,896.80

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Solution

The fourth proportional to 205,610.40, 308,415.60 and 158,896.80 is: 238,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,610.40 : 308,415.60 = 158,896.80 : x
  2. Step 2: Convert to fraction form
    205,610.40/308,415.60 = 158,896.80/x
  3. Step 3: Cross multiply
    205,610.40x = 308,415.60 × 158,896.80
  4. Step 4: Simplify right side
    205,610.40x = 49,006,251,910.08
  5. Step 5: Solve for x
    x = 49,006,251,910.08/205,610.40
  6. Step 6: Final answer
    x = 238,345.20

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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.