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Finding the Fourth Proportional to 196,476.69, 294,271.94 and 137,575.32

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Solution

The fourth proportional to 196,476.69, 294,271.94 and 137,575.32 is: 206,052.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,476.69 : 294,271.94 = 137,575.32 : x
  2. Step 2: Convert to fraction form
    196,476.69/294,271.94 = 137,575.32/x
  3. Step 3: Cross multiply
    196,476.69x = 294,271.94 × 137,575.32
  4. Step 4: Simplify right side
    196,476.69x = 40,484,555,624.64
  5. Step 5: Solve for x
    x = 40,484,555,624.64/196,476.69
  6. Step 6: Final answer
    x = 206,052.72

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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.