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Finding the Fourth Proportional to 202,613.90, 279,593.19 and 111,969

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Solution

The fourth proportional to 202,613.90, 279,593.19 and 111,969 is: 154,509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,613.90 : 279,593.19 = 111,969 : x
  2. Step 2: Convert to fraction form
    202,613.90/279,593.19 = 111,969/x
  3. Step 3: Cross multiply
    202,613.90x = 279,593.19 × 111,969
  4. Step 4: Simplify right side
    202,613.90x = 31,305,769,891.11
  5. Step 5: Solve for x
    x = 31,305,769,891.11/202,613.90
  6. Step 6: Final answer
    x = 154,509.49

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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.