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Finding the Fourth Proportional to 198,271, 273,611.28 and 107,627.14

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Solution

The fourth proportional to 198,271, 273,611.28 and 107,627.14 is: 148,523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,271 : 273,611.28 = 107,627.14 : x
  2. Step 2: Convert to fraction form
    198,271/273,611.28 = 107,627.14/x
  3. Step 3: Cross multiply
    198,271x = 273,611.28 × 107,627.14
  4. Step 4: Simplify right side
    198,271x = 29,447,999,538.14
  5. Step 5: Solve for x
    x = 29,447,999,538.14/198,271
  6. Step 6: Final answer
    x = 148,523.99

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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.