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Finding the Fourth Proportional to 193,891, 267,572.82 and 117,412.42

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Solution

The fourth proportional to 193,891, 267,572.82 and 117,412.42 is: 162,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,891 : 267,572.82 = 117,412.42 : x
  2. Step 2: Convert to fraction form
    193,891/267,572.82 = 117,412.42/x
  3. Step 3: Cross multiply
    193,891x = 267,572.82 × 117,412.42
  4. Step 4: Simplify right side
    193,891x = 31,416,372,322.42
  5. Step 5: Solve for x
    x = 31,416,372,322.42/193,891
  6. Step 6: Final answer
    x = 162,031.10

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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.