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Finding the Fourth Proportional to 196,436.46, 294,673.68 and 78,081.24

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Solution

The fourth proportional to 196,436.46, 294,673.68 and 78,081.24 is: 117,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,436.46 : 294,673.68 = 78,081.24 : x
  2. Step 2: Convert to fraction form
    196,436.46/294,673.68 = 78,081.24/x
  3. Step 3: Cross multiply
    196,436.46x = 294,673.68 × 78,081.24
  4. Step 4: Simplify right side
    196,436.46x = 23,008,486,329.76
  5. Step 5: Solve for x
    x = 23,008,486,329.76/196,436.46
  6. Step 6: Final answer
    x = 117,129.41

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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.