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Finding the Fourth Proportional to 189,828, 261,967.20 and 122,876.64

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Solution

The fourth proportional to 189,828, 261,967.20 and 122,876.64 is: 169,572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,828 : 261,967.20 = 122,876.64 : x
  2. Step 2: Convert to fraction form
    189,828/261,967.20 = 122,876.64/x
  3. Step 3: Cross multiply
    189,828x = 261,967.20 × 122,876.64
  4. Step 4: Simplify right side
    189,828x = 32,189,649,326.21
  5. Step 5: Solve for x
    x = 32,189,649,326.21/189,828
  6. Step 6: Final answer
    x = 169,572.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.