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Finding the Fourth Proportional to 193,874.21, 267,525.95 and 107,819.22

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Solution

The fourth proportional to 193,874.21, 267,525.95 and 107,819.22 is: 148,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,874.21 : 267,525.95 = 107,819.22 : x
  2. Step 2: Convert to fraction form
    193,874.21/267,525.95 = 107,819.22/x
  3. Step 3: Cross multiply
    193,874.21x = 267,525.95 × 107,819.22
  4. Step 4: Simplify right side
    193,874.21x = 28,844,438,719.66
  5. Step 5: Solve for x
    x = 28,844,438,719.66/193,874.21
  6. Step 6: Final answer
    x = 148,779.15

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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.