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Finding the Fourth Proportional to 107,067, 160,610.40 and 28,181.64

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Solution

The fourth proportional to 107,067, 160,610.40 and 28,181.64 is: 42,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,067 : 160,610.40 = 28,181.64 : x
  2. Step 2: Convert to fraction form
    107,067/160,610.40 = 28,181.64/x
  3. Step 3: Cross multiply
    107,067x = 160,610.40 × 28,181.64
  4. Step 4: Simplify right side
    107,067x = 4,526,264,473.06
  5. Step 5: Solve for x
    x = 4,526,264,473.06/107,067
  6. Step 6: Final answer
    x = 42,275.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.