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Finding the Fourth Proportional to 182,863.36, 251,790.69 and 160,074.82

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Solution

The fourth proportional to 182,863.36, 251,790.69 and 160,074.82 is: 220,412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,863.36 : 251,790.69 = 160,074.82 : x
  2. Step 2: Convert to fraction form
    182,863.36/251,790.69 = 160,074.82/x
  3. Step 3: Cross multiply
    182,863.36x = 251,790.69 × 160,074.82
  4. Step 4: Simplify right side
    182,863.36x = 40,305,349,379.43
  5. Step 5: Solve for x
    x = 40,305,349,379.43/182,863.36
  6. Step 6: Final answer
    x = 220,412.39

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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.