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Finding the Fourth Proportional to 203,489.32, 305,192.42 and 77,085.99

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Solution

The fourth proportional to 203,489.32, 305,192.42 and 77,085.99 is: 115,613.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,489.32 : 305,192.42 = 77,085.99 : x
  2. Step 2: Convert to fraction form
    203,489.32/305,192.42 = 77,085.99/x
  3. Step 3: Cross multiply
    203,489.32x = 305,192.42 × 77,085.99
  4. Step 4: Simplify right side
    203,489.32x = 23,526,058,880.50
  5. Step 5: Solve for x
    x = 23,526,058,880.50/203,489.32
  6. Step 6: Final answer
    x = 115,613.24

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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.