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Finding the Fourth Proportional to 189,226.32, 261,130.41 and 103,185.09

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Solution

The fourth proportional to 189,226.32, 261,130.41 and 103,185.09 is: 142,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,226.32 : 261,130.41 = 103,185.09 : x
  2. Step 2: Convert to fraction form
    189,226.32/261,130.41 = 103,185.09/x
  3. Step 3: Cross multiply
    189,226.32x = 261,130.41 × 103,185.09
  4. Step 4: Simplify right side
    189,226.32x = 26,944,764,857.59
  5. Step 5: Solve for x
    x = 26,944,764,857.59/189,226.32
  6. Step 6: Final answer
    x = 142,394.38

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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.