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Finding the Fourth Proportional to 196,906.56, 295,184.16 and 72,218.56

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Solution

The fourth proportional to 196,906.56, 295,184.16 and 72,218.56 is: 108,263.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,906.56 : 295,184.16 = 72,218.56 : x
  2. Step 2: Convert to fraction form
    196,906.56/295,184.16 = 72,218.56/x
  3. Step 3: Cross multiply
    196,906.56x = 295,184.16 × 72,218.56
  4. Step 4: Simplify right side
    196,906.56x = 21,317,774,970.01
  5. Step 5: Solve for x
    x = 21,317,774,970.01/196,906.56
  6. Step 6: Final answer
    x = 108,263.41

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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.