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Finding the Fourth Proportional to 203,203.26, 304,992 and 103,434.75

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Solution

The fourth proportional to 203,203.26, 304,992 and 103,434.75 is: 155,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,203.26 : 304,992 = 103,434.75 : x
  2. Step 2: Convert to fraction form
    203,203.26/304,992 = 103,434.75/x
  3. Step 3: Cross multiply
    203,203.26x = 304,992 × 103,434.75
  4. Step 4: Simplify right side
    203,203.26x = 31,546,771,272
  5. Step 5: Solve for x
    x = 31,546,771,272/203,203.26
  6. Step 6: Final answer
    x = 155,247.37

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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.