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Finding the Fourth Proportional to 208,424.24, 312,635.54 and 50,653.16

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Solution

The fourth proportional to 208,424.24, 312,635.54 and 50,653.16 is: 75,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,424.24 : 312,635.54 = 50,653.16 : x
  2. Step 2: Convert to fraction form
    208,424.24/312,635.54 = 50,653.16/x
  3. Step 3: Cross multiply
    208,424.24x = 312,635.54 × 50,653.16
  4. Step 4: Simplify right side
    208,424.24x = 15,835,978,029.31
  5. Step 5: Solve for x
    x = 15,835,978,029.31/208,424.24
  6. Step 6: Final answer
    x = 75,979.54

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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.