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Finding the Fourth Proportional to 193,514.42, 267,089.20 and 111,846.14

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Solution

The fourth proportional to 193,514.42, 267,089.20 and 111,846.14 is: 154,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,514.42 : 267,089.20 = 111,846.14 : x
  2. Step 2: Convert to fraction form
    193,514.42/267,089.20 = 111,846.14/x
  3. Step 3: Cross multiply
    193,514.42x = 267,089.20 × 111,846.14
  4. Step 4: Simplify right side
    193,514.42x = 29,872,896,055.69
  5. Step 5: Solve for x
    x = 29,872,896,055.69/193,514.42
  6. Step 6: Final answer
    x = 154,370.39

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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.