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Finding the Fourth Proportional to 208,192.74, 312,288.09 and 50,421.19

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Solution

The fourth proportional to 208,192.74, 312,288.09 and 50,421.19 is: 75,631.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,192.74 : 312,288.09 = 50,421.19 : x
  2. Step 2: Convert to fraction form
    208,192.74/312,288.09 = 50,421.19/x
  3. Step 3: Cross multiply
    208,192.74x = 312,288.09 × 50,421.19
  4. Step 4: Simplify right side
    208,192.74x = 15,745,937,120.63
  5. Step 5: Solve for x
    x = 15,745,937,120.63/208,192.74
  6. Step 6: Final answer
    x = 75,631.54

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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.