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Finding the Fourth Proportional to 189,585.05, 261,745.69 and 120,713.38

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Solution

The fourth proportional to 189,585.05, 261,745.69 and 120,713.38 is: 166,659.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,585.05 : 261,745.69 = 120,713.38 : x
  2. Step 2: Convert to fraction form
    189,585.05/261,745.69 = 120,713.38/x
  3. Step 3: Cross multiply
    189,585.05x = 261,745.69 × 120,713.38
  4. Step 4: Simplify right side
    189,585.05x = 31,596,205,631.60
  5. Step 5: Solve for x
    x = 31,596,205,631.60/189,585.05
  6. Step 6: Final answer
    x = 166,659.80

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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.