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Finding the Fourth Proportional to 193,657.61, 267,241.68 and 107,616.30

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Solution

The fourth proportional to 193,657.61, 267,241.68 and 107,616.30 is: 148,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,657.61 : 267,241.68 = 107,616.30 : x
  2. Step 2: Convert to fraction form
    193,657.61/267,241.68 = 107,616.30/x
  3. Step 3: Cross multiply
    193,657.61x = 267,241.68 × 107,616.30
  4. Step 4: Simplify right side
    193,657.61x = 28,759,560,807.38
  5. Step 5: Solve for x
    x = 28,759,560,807.38/193,657.61
  6. Step 6: Final answer
    x = 148,507.26

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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.