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Finding the Fourth Proportional to 203,848.84, 305,883.24 and 119,773.27

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Solution

The fourth proportional to 203,848.84, 305,883.24 and 119,773.27 is: 179,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,848.84 : 305,883.24 = 119,773.27 : x
  2. Step 2: Convert to fraction form
    203,848.84/305,883.24 = 119,773.27/x
  3. Step 3: Cross multiply
    203,848.84x = 305,883.24 × 119,773.27
  4. Step 4: Simplify right side
    203,848.84x = 36,636,635,892.99
  5. Step 5: Solve for x
    x = 36,636,635,892.99/203,848.84
  6. Step 6: Final answer
    x = 179,724.52

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Why These Related Problems?

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