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Finding the Fourth Proportional to 189,345.09, 261,311.83 and 107,698.92

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Solution

The fourth proportional to 189,345.09, 261,311.83 and 107,698.92 is: 148,633.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,345.09 : 261,311.83 = 107,698.92 : x
  2. Step 2: Convert to fraction form
    189,345.09/261,311.83 = 107,698.92/x
  3. Step 3: Cross multiply
    189,345.09x = 261,311.83 × 107,698.92
  4. Step 4: Simplify right side
    189,345.09x = 28,143,000,625.06
  5. Step 5: Solve for x
    x = 28,143,000,625.06/189,345.09
  6. Step 6: Final answer
    x = 148,633.38

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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.