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Finding the Fourth Proportional to 196,376.68, 294,290.44 and 106,224.76

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Solution

The fourth proportional to 196,376.68, 294,290.44 and 106,224.76 is: 159,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,376.68 : 294,290.44 = 106,224.76 : x
  2. Step 2: Convert to fraction form
    196,376.68/294,290.44 = 106,224.76/x
  3. Step 3: Cross multiply
    196,376.68x = 294,290.44 × 106,224.76
  4. Step 4: Simplify right side
    196,376.68x = 31,260,931,359.29
  5. Step 5: Solve for x
    x = 31,260,931,359.29/196,376.68
  6. Step 6: Final answer
    x = 159,188.61

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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.