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Finding the Fourth Proportional to 189,100.98, 260,946.90 and 104,217.84

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Solution

The fourth proportional to 189,100.98, 260,946.90 and 104,217.84 is: 143,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,100.98 : 260,946.90 = 104,217.84 : x
  2. Step 2: Convert to fraction form
    189,100.98/260,946.90 = 104,217.84/x
  3. Step 3: Cross multiply
    189,100.98x = 260,946.90 × 104,217.84
  4. Step 4: Simplify right side
    189,100.98x = 27,195,322,272.70
  5. Step 5: Solve for x
    x = 27,195,322,272.70/189,100.98
  6. Step 6: Final answer
    x = 143,813.76

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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.