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Finding the Fourth Proportional to 205,423.20, 308,188.80 and 65,181.60

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Solution

The fourth proportional to 205,423.20, 308,188.80 and 65,181.60 is: 97,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,423.20 : 308,188.80 = 65,181.60 : x
  2. Step 2: Convert to fraction form
    205,423.20/308,188.80 = 65,181.60/x
  3. Step 3: Cross multiply
    205,423.20x = 308,188.80 × 65,181.60
  4. Step 4: Simplify right side
    205,423.20x = 20,088,239,086.08
  5. Step 5: Solve for x
    x = 20,088,239,086.08/205,423.20
  6. Step 6: Final answer
    x = 97,789.53

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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.