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Finding the Fourth Proportional to 188,310.22, 259,866.53 and 102,271.44

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Solution

The fourth proportional to 188,310.22, 259,866.53 and 102,271.44 is: 141,133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,310.22 : 259,866.53 = 102,271.44 : x
  2. Step 2: Convert to fraction form
    188,310.22/259,866.53 = 102,271.44/x
  3. Step 3: Cross multiply
    188,310.22x = 259,866.53 × 102,271.44
  4. Step 4: Simplify right side
    188,310.22x = 26,576,925,077.56
  5. Step 5: Solve for x
    x = 26,576,925,077.56/188,310.22
  6. Step 6: Final answer
    x = 141,133.74

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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.