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Finding the Fourth Proportional to 193,952, 267,657 and 126,884

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Solution

The fourth proportional to 193,952, 267,657 and 126,884 is: 175,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,952 : 267,657 = 126,884 : x
  2. Step 2: Convert to fraction form
    193,952/267,657 = 126,884/x
  3. Step 3: Cross multiply
    193,952x = 267,657 × 126,884
  4. Step 4: Simplify right side
    193,952x = 33,961,390,788
  5. Step 5: Solve for x
    x = 33,961,390,788/193,952
  6. Step 6: Final answer
    x = 175,102.04

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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.