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Finding the Fourth Proportional to 196,589.26, 294,903.06 and 78,232.96

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Solution

The fourth proportional to 196,589.26, 294,903.06 and 78,232.96 is: 117,357.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,589.26 : 294,903.06 = 78,232.96 : x
  2. Step 2: Convert to fraction form
    196,589.26/294,903.06 = 78,232.96/x
  3. Step 3: Cross multiply
    196,589.26x = 294,903.06 × 78,232.96
  4. Step 4: Simplify right side
    196,589.26x = 23,071,139,296.86
  5. Step 5: Solve for x
    x = 23,071,139,296.86/196,589.26
  6. Step 6: Final answer
    x = 117,357.07

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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.