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Finding the Fourth Proportional to 180,575.82, 270,886.77 and 68,324.94

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Solution

The fourth proportional to 180,575.82, 270,886.77 and 68,324.94 is: 102,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,575.82 : 270,886.77 = 68,324.94 : x
  2. Step 2: Convert to fraction form
    180,575.82/270,886.77 = 68,324.94/x
  3. Step 3: Cross multiply
    180,575.82x = 270,886.77 × 68,324.94
  4. Step 4: Simplify right side
    180,575.82x = 18,508,322,307.04
  5. Step 5: Solve for x
    x = 18,508,322,307.04/180,575.82
  6. Step 6: Final answer
    x = 102,496.13

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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.