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Finding the Fourth Proportional to 189,816, 261,950.64 and 122,864.64

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Solution

The fourth proportional to 189,816, 261,950.64 and 122,864.64 is: 169,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,816 : 261,950.64 = 122,864.64 : x
  2. Step 2: Convert to fraction form
    189,816/261,950.64 = 122,864.64/x
  3. Step 3: Cross multiply
    189,816x = 261,950.64 × 122,864.64
  4. Step 4: Simplify right side
    189,816x = 32,184,471,081.37
  5. Step 5: Solve for x
    x = 32,184,471,081.37/189,816
  6. Step 6: Final answer
    x = 169,556.15

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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.