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Finding the Fourth Proportional to 203,403.50, 304,760.78 and 123,199.12

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Solution

The fourth proportional to 203,403.50, 304,760.78 and 123,199.12 is: 184,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,403.50 : 304,760.78 = 123,199.12 : x
  2. Step 2: Convert to fraction form
    203,403.50/304,760.78 = 123,199.12/x
  3. Step 3: Cross multiply
    203,403.50x = 304,760.78 × 123,199.12
  4. Step 4: Simplify right side
    203,403.50x = 37,546,257,766.71
  5. Step 5: Solve for x
    x = 37,546,257,766.71/203,403.50
  6. Step 6: Final answer
    x = 184,590.03

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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.