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Finding the Fourth Proportional to 100,892.59, 139,285.21 and 78,180.60

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Solution

The fourth proportional to 100,892.59, 139,285.21 and 78,180.60 is: 107,930.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,892.59 : 139,285.21 = 78,180.60 : x
  2. Step 2: Convert to fraction form
    100,892.59/139,285.21 = 78,180.60/x
  3. Step 3: Cross multiply
    100,892.59x = 139,285.21 × 78,180.60
  4. Step 4: Simplify right side
    100,892.59x = 10,889,401,288.93
  5. Step 5: Solve for x
    x = 10,889,401,288.93/100,892.59
  6. Step 6: Final answer
    x = 107,930.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.