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Finding the Fourth Proportional to 196,745.60, 294,674.38 and 137,844.16

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Solution

The fourth proportional to 196,745.60, 294,674.38 and 137,844.16 is: 206,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,745.60 : 294,674.38 = 137,844.16 : x
  2. Step 2: Convert to fraction form
    196,745.60/294,674.38 = 137,844.16/x
  3. Step 3: Cross multiply
    196,745.60x = 294,674.38 × 137,844.16
  4. Step 4: Simplify right side
    196,745.60x = 40,619,142,384.62
  5. Step 5: Solve for x
    x = 40,619,142,384.62/196,745.60
  6. Step 6: Final answer
    x = 206,455.15

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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.