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Finding the Fourth Proportional to 189,716.51, 261,805.60 and 103,673.60

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Solution

The fourth proportional to 189,716.51, 261,805.60 and 103,673.60 is: 143,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,716.51 : 261,805.60 = 103,673.60 : x
  2. Step 2: Convert to fraction form
    189,716.51/261,805.60 = 103,673.60/x
  3. Step 3: Cross multiply
    189,716.51x = 261,805.60 × 103,673.60
  4. Step 4: Simplify right side
    189,716.51x = 27,142,329,052.16
  5. Step 5: Solve for x
    x = 27,142,329,052.16/189,716.51
  6. Step 6: Final answer
    x = 143,067.83

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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.