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Finding the Fourth Proportional to 208,564.36, 312,840.42 and 50,790.52

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Solution

The fourth proportional to 208,564.36, 312,840.42 and 50,790.52 is: 76,184.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,564.36 : 312,840.42 = 50,790.52 : x
  2. Step 2: Convert to fraction form
    208,564.36/312,840.42 = 50,790.52/x
  3. Step 3: Cross multiply
    208,564.36x = 312,840.42 × 50,790.52
  4. Step 4: Simplify right side
    208,564.36x = 15,889,327,608.82
  5. Step 5: Solve for x
    x = 15,889,327,608.82/208,564.36
  6. Step 6: Final answer
    x = 76,184.29

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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.