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Finding the Fourth Proportional to 203,857.68, 305,789.76 and 77,499.84

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Solution

The fourth proportional to 203,857.68, 305,789.76 and 77,499.84 is: 116,250.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,857.68 : 305,789.76 = 77,499.84 : x
  2. Step 2: Convert to fraction form
    203,857.68/305,789.76 = 77,499.84/x
  3. Step 3: Cross multiply
    203,857.68x = 305,789.76 × 77,499.84
  4. Step 4: Simplify right side
    203,857.68x = 23,698,657,473.64
  5. Step 5: Solve for x
    x = 23,698,657,473.64/203,857.68
  6. Step 6: Final answer
    x = 116,250.99

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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.