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Finding the Fourth Proportional to 137,193.72, 205,650.26 and 92,825.16

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Solution

The fourth proportional to 137,193.72, 205,650.26 and 92,825.16 is: 139,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,193.72 : 205,650.26 = 92,825.16 : x
  2. Step 2: Convert to fraction form
    137,193.72/205,650.26 = 92,825.16/x
  3. Step 3: Cross multiply
    137,193.72x = 205,650.26 × 92,825.16
  4. Step 4: Simplify right side
    137,193.72x = 19,089,518,288.54
  5. Step 5: Solve for x
    x = 19,089,518,288.54/137,193.72
  6. Step 6: Final answer
    x = 139,142.80

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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.