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Finding the Fourth Proportional to 203,825.80, 306,030.30 and 144,922.60

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Solution

The fourth proportional to 203,825.80, 306,030.30 and 144,922.60 is: 217,591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,825.80 : 306,030.30 = 144,922.60 : x
  2. Step 2: Convert to fraction form
    203,825.80/306,030.30 = 144,922.60/x
  3. Step 3: Cross multiply
    203,825.80x = 306,030.30 × 144,922.60
  4. Step 4: Simplify right side
    203,825.80x = 44,350,706,754.78
  5. Step 5: Solve for x
    x = 44,350,706,754.78/203,825.80
  6. Step 6: Final answer
    x = 217,591.23

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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.