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Finding the Fourth Proportional to 191,687.51, 264,517.97 and 105,646.22

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Solution

The fourth proportional to 191,687.51, 264,517.97 and 105,646.22 is: 145,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,687.51 : 264,517.97 = 105,646.22 : x
  2. Step 2: Convert to fraction form
    191,687.51/264,517.97 = 105,646.22/x
  3. Step 3: Cross multiply
    191,687.51x = 264,517.97 × 105,646.22
  4. Step 4: Simplify right side
    191,687.51x = 27,945,324,577.98
  5. Step 5: Solve for x
    x = 27,945,324,577.98/191,687.51
  6. Step 6: Final answer
    x = 145,785.84

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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.