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Finding the Fourth Proportional to 149,097.93, 205,755.63 and 81,114.89

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Solution

The fourth proportional to 149,097.93, 205,755.63 and 81,114.89 is: 111,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,097.93 : 205,755.63 = 81,114.89 : x
  2. Step 2: Convert to fraction form
    149,097.93/205,755.63 = 81,114.89/x
  3. Step 3: Cross multiply
    149,097.93x = 205,755.63 × 81,114.89
  4. Step 4: Simplify right side
    149,097.93x = 16,689,845,341.32
  5. Step 5: Solve for x
    x = 16,689,845,341.32/149,097.93
  6. Step 6: Final answer
    x = 111,938.81

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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.