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Finding the Fourth Proportional to 193,507.64, 267,049.42 and 107,467

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Solution

The fourth proportional to 193,507.64, 267,049.42 and 107,467 is: 148,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,507.64 : 267,049.42 = 107,467 : x
  2. Step 2: Convert to fraction form
    193,507.64/267,049.42 = 107,467/x
  3. Step 3: Cross multiply
    193,507.64x = 267,049.42 × 107,467
  4. Step 4: Simplify right side
    193,507.64x = 28,699,000,019.14
  5. Step 5: Solve for x
    x = 28,699,000,019.14/193,507.64
  6. Step 6: Final answer
    x = 148,309.39

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1.5x scale

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.