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Finding the Fourth Proportional to 196,155.33, 294,346.50 and 82,292.94

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Solution

The fourth proportional to 196,155.33, 294,346.50 and 82,292.94 is: 123,487.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,155.33 : 294,346.50 = 82,292.94 : x
  2. Step 2: Convert to fraction form
    196,155.33/294,346.50 = 82,292.94/x
  3. Step 3: Cross multiply
    196,155.33x = 294,346.50 × 82,292.94
  4. Step 4: Simplify right side
    196,155.33x = 24,222,638,863.71
  5. Step 5: Solve for x
    x = 24,222,638,863.71/196,155.33
  6. Step 6: Final answer
    x = 123,487.03

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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.