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Finding the Fourth Proportional to 149,114.51, 205,778.01 and 81,131.51

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Solution

The fourth proportional to 149,114.51, 205,778.01 and 81,131.51 is: 111,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,114.51 : 205,778.01 = 81,131.51 : x
  2. Step 2: Convert to fraction form
    149,114.51/205,778.01 = 81,131.51/x
  3. Step 3: Cross multiply
    149,114.51x = 205,778.01 × 81,131.51
  4. Step 4: Simplify right side
    149,114.51x = 16,695,079,647.21
  5. Step 5: Solve for x
    x = 16,695,079,647.21/149,114.51
  6. Step 6: Final answer
    x = 111,961.47

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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.