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Finding the Fourth Proportional to 189,093.96, 260,949.74 and 103,052.97

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Solution

The fourth proportional to 189,093.96, 260,949.74 and 103,052.97 is: 142,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,093.96 : 260,949.74 = 103,052.97 : x
  2. Step 2: Convert to fraction form
    189,093.96/260,949.74 = 103,052.97/x
  3. Step 3: Cross multiply
    189,093.96x = 260,949.74 × 103,052.97
  4. Step 4: Simplify right side
    189,093.96x = 26,891,645,212.46
  5. Step 5: Solve for x
    x = 26,891,645,212.46/189,093.96
  6. Step 6: Final answer
    x = 142,213.14

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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.