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Finding the Fourth Proportional to 196,446.39, 294,723.96 and 78,200.76

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Solution

The fourth proportional to 196,446.39, 294,723.96 and 78,200.76 is: 117,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,446.39 : 294,723.96 = 78,200.76 : x
  2. Step 2: Convert to fraction form
    196,446.39/294,723.96 = 78,200.76/x
  3. Step 3: Cross multiply
    196,446.39x = 294,723.96 × 78,200.76
  4. Step 4: Simplify right side
    196,446.39x = 23,047,637,662.21
  5. Step 5: Solve for x
    x = 23,047,637,662.21/196,446.39
  6. Step 6: Final answer
    x = 117,322.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.