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Finding the Fourth Proportional to 203,254.98, 304,882.65 and 84,861.78

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Solution

The fourth proportional to 203,254.98, 304,882.65 and 84,861.78 is: 127,292.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,254.98 : 304,882.65 = 84,861.78 : x
  2. Step 2: Convert to fraction form
    203,254.98/304,882.65 = 84,861.78/x
  3. Step 3: Cross multiply
    203,254.98x = 304,882.65 × 84,861.78
  4. Step 4: Simplify right side
    203,254.98x = 25,872,884,370.12
  5. Step 5: Solve for x
    x = 25,872,884,370.12/203,254.98
  6. Step 6: Final answer
    x = 127,292.75

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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.