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Finding the Fourth Proportional to 149,142.96, 205,857.72 and 87,942.60

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Solution

The fourth proportional to 149,142.96, 205,857.72 and 87,942.60 is: 121,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,142.96 : 205,857.72 = 87,942.60 : x
  2. Step 2: Convert to fraction form
    149,142.96/205,857.72 = 87,942.60/x
  3. Step 3: Cross multiply
    149,142.96x = 205,857.72 × 87,942.60
  4. Step 4: Simplify right side
    149,142.96x = 18,103,663,126.87
  5. Step 5: Solve for x
    x = 18,103,663,126.87/149,142.96
  6. Step 6: Final answer
    x = 121,384.63

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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.