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Finding the Fourth Proportional to 203,188.29, 304,634.80 and 84,893.46

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Solution

The fourth proportional to 203,188.29, 304,634.80 and 84,893.46 is: 127,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,188.29 : 304,634.80 = 84,893.46 : x
  2. Step 2: Convert to fraction form
    203,188.29/304,634.80 = 84,893.46/x
  3. Step 3: Cross multiply
    203,188.29x = 304,634.80 × 84,893.46
  4. Step 4: Simplify right side
    203,188.29x = 25,861,502,208.41
  5. Step 5: Solve for x
    x = 25,861,502,208.41/203,188.29
  6. Step 6: Final answer
    x = 127,278.51

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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.