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Finding the Fourth Proportional to 151,538, 227,375.58 and 66,175.34

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Solution

The fourth proportional to 151,538, 227,375.58 and 66,175.34 is: 99,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,538 : 227,375.58 = 66,175.34 : x
  2. Step 2: Convert to fraction form
    151,538/227,375.58 = 66,175.34/x
  3. Step 3: Cross multiply
    151,538x = 227,375.58 × 66,175.34
  4. Step 4: Simplify right side
    151,538x = 15,046,656,314.20
  5. Step 5: Solve for x
    x = 15,046,656,314.20/151,538
  6. Step 6: Final answer
    x = 99,292.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.