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Finding the Fourth Proportional to 165,062, 227,837.42 and 105,446

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Solution

The fourth proportional to 165,062, 227,837.42 and 105,446 is: 145,548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,062 : 227,837.42 = 105,446 : x
  2. Step 2: Convert to fraction form
    165,062/227,837.42 = 105,446/x
  3. Step 3: Cross multiply
    165,062x = 227,837.42 × 105,446
  4. Step 4: Simplify right side
    165,062x = 24,024,544,589.32
  5. Step 5: Solve for x
    x = 24,024,544,589.32/165,062
  6. Step 6: Final answer
    x = 145,548.61

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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.