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Finding the Fourth Proportional to 196,474.19, 294,268.19 and 137,572.81

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Solution

The fourth proportional to 196,474.19, 294,268.19 and 137,572.81 is: 206,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,474.19 : 294,268.19 = 137,572.81 : x
  2. Step 2: Convert to fraction form
    196,474.19/294,268.19 = 137,572.81/x
  3. Step 3: Cross multiply
    196,474.19x = 294,268.19 × 137,572.81
  4. Step 4: Simplify right side
    196,474.19x = 40,483,301,791.91
  5. Step 5: Solve for x
    x = 40,483,301,791.91/196,474.19
  6. Step 6: Final answer
    x = 206,048.96

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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.