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Finding the Fourth Proportional to 193,617.23, 267,188.40 and 107,577

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Solution

The fourth proportional to 193,617.23, 267,188.40 and 107,577 is: 148,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,617.23 : 267,188.40 = 107,577 : x
  2. Step 2: Convert to fraction form
    193,617.23/267,188.40 = 107,577/x
  3. Step 3: Cross multiply
    193,617.23x = 267,188.40 × 107,577
  4. Step 4: Simplify right side
    193,617.23x = 28,743,326,506.80
  5. Step 5: Solve for x
    x = 28,743,326,506.80/193,617.23
  6. Step 6: Final answer
    x = 148,454.39

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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.