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Finding the Fourth Proportional to 189,057.92, 260,741.04 and 113,591.84

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Solution

The fourth proportional to 189,057.92, 260,741.04 and 113,591.84 is: 156,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,057.92 : 260,741.04 = 113,591.84 : x
  2. Step 2: Convert to fraction form
    189,057.92/260,741.04 = 113,591.84/x
  3. Step 3: Cross multiply
    189,057.92x = 260,741.04 × 113,591.84
  4. Step 4: Simplify right side
    189,057.92x = 29,618,054,497.11
  5. Step 5: Solve for x
    x = 29,618,054,497.11/189,057.92
  6. Step 6: Final answer
    x = 156,661.27

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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.