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Finding the Fourth Proportional to 123,091.63, 169,866.57 and 66,503.05

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Solution

The fourth proportional to 123,091.63, 169,866.57 and 66,503.05 is: 91,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,091.63 : 169,866.57 = 66,503.05 : x
  2. Step 2: Convert to fraction form
    123,091.63/169,866.57 = 66,503.05/x
  3. Step 3: Cross multiply
    123,091.63x = 169,866.57 × 66,503.05
  4. Step 4: Simplify right side
    123,091.63x = 11,296,644,998.04
  5. Step 5: Solve for x
    x = 11,296,644,998.04/123,091.63
  6. Step 6: Final answer
    x = 91,774.27

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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.