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Finding the Fourth Proportional to 189,104.74, 260,964 and 104,221.78

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Solution

The fourth proportional to 189,104.74, 260,964 and 104,221.78 is: 143,825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,104.74 : 260,964 = 104,221.78 : x
  2. Step 2: Convert to fraction form
    189,104.74/260,964 = 104,221.78/x
  3. Step 3: Cross multiply
    189,104.74x = 260,964 × 104,221.78
  4. Step 4: Simplify right side
    189,104.74x = 27,198,132,595.92
  5. Step 5: Solve for x
    x = 27,198,132,595.92/189,104.74
  6. Step 6: Final answer
    x = 143,825.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.