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Finding the Fourth Proportional to 123,194.96, 169,855.01 and 102,806.42

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Solution

The fourth proportional to 123,194.96, 169,855.01 and 102,806.42 is: 141,744.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,194.96 : 169,855.01 = 102,806.42 : x
  2. Step 2: Convert to fraction form
    123,194.96/169,855.01 = 102,806.42/x
  3. Step 3: Cross multiply
    123,194.96x = 169,855.01 × 102,806.42
  4. Step 4: Simplify right side
    123,194.96x = 17,462,184,519.38
  5. Step 5: Solve for x
    x = 17,462,184,519.38/123,194.96
  6. Step 6: Final answer
    x = 141,744.31

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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.