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Finding the Fourth Proportional to 189,815, 261,922 and 104,920.52

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Solution

The fourth proportional to 189,815, 261,922 and 104,920.52 is: 144,777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,815 : 261,922 = 104,920.52 : x
  2. Step 2: Convert to fraction form
    189,815/261,922 = 104,920.52/x
  3. Step 3: Cross multiply
    189,815x = 261,922 × 104,920.52
  4. Step 4: Simplify right side
    189,815x = 27,480,992,439.44
  5. Step 5: Solve for x
    x = 27,480,992,439.44/189,815
  6. Step 6: Final answer
    x = 144,777.77

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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.