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Finding the Fourth Proportional to 196,443.66, 294,812.14 and 133,113.56

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Solution

The fourth proportional to 196,443.66, 294,812.14 and 133,113.56 is: 199,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,443.66 : 294,812.14 = 133,113.56 : x
  2. Step 2: Convert to fraction form
    196,443.66/294,812.14 = 133,113.56/x
  3. Step 3: Cross multiply
    196,443.66x = 294,812.14 × 133,113.56
  4. Step 4: Simplify right side
    196,443.66x = 39,243,493,486.62
  5. Step 5: Solve for x
    x = 39,243,493,486.62/196,443.66
  6. Step 6: Final answer
    x = 199,769.71

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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.