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Finding the Fourth Proportional to 203,219.51, 304,858.96 and 97,951.91

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Solution

The fourth proportional to 203,219.51, 304,858.96 and 97,951.91 is: 146,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,219.51 : 304,858.96 = 97,951.91 : x
  2. Step 2: Convert to fraction form
    203,219.51/304,858.96 = 97,951.91/x
  3. Step 3: Cross multiply
    203,219.51x = 304,858.96 × 97,951.91
  4. Step 4: Simplify right side
    203,219.51x = 29,861,515,643.44
  5. Step 5: Solve for x
    x = 29,861,515,643.44/203,219.51
  6. Step 6: Final answer
    x = 146,942.17

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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.