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Finding the Fourth Proportional to 132,175.26, 182,410.74 and 74,814.48

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Solution

The fourth proportional to 132,175.26, 182,410.74 and 74,814.48 is: 103,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,175.26 : 182,410.74 = 74,814.48 : x
  2. Step 2: Convert to fraction form
    132,175.26/182,410.74 = 74,814.48/x
  3. Step 3: Cross multiply
    132,175.26x = 182,410.74 × 74,814.48
  4. Step 4: Simplify right side
    132,175.26x = 13,646,964,659.52
  5. Step 5: Solve for x
    x = 13,646,964,659.52/132,175.26
  6. Step 6: Final answer
    x = 103,249.01

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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.