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Finding the Fourth Proportional to 203,196.60, 304,991.73 and 98,089.38

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Solution

The fourth proportional to 203,196.60, 304,991.73 and 98,089.38 is: 147,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,196.60 : 304,991.73 = 98,089.38 : x
  2. Step 2: Convert to fraction form
    203,196.60/304,991.73 = 98,089.38/x
  3. Step 3: Cross multiply
    203,196.60x = 304,991.73 × 98,089.38
  4. Step 4: Simplify right side
    203,196.60x = 29,916,449,700.83
  5. Step 5: Solve for x
    x = 29,916,449,700.83/203,196.60
  6. Step 6: Final answer
    x = 147,229.09

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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.