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Finding the Fourth Proportional to 149,097.56, 205,755.11 and 81,114.51

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Solution

The fourth proportional to 149,097.56, 205,755.11 and 81,114.51 is: 111,938.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,097.56 : 205,755.11 = 81,114.51 : x
  2. Step 2: Convert to fraction form
    149,097.56/205,755.11 = 81,114.51/x
  3. Step 3: Cross multiply
    149,097.56x = 205,755.11 × 81,114.51
  4. Step 4: Simplify right side
    149,097.56x = 16,689,726,054.10
  5. Step 5: Solve for x
    x = 16,689,726,054.10/149,097.56
  6. Step 6: Final answer
    x = 111,938.29

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Why These Related Problems?

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