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Finding the Fourth Proportional to 197,202.20, 295,803.30 and 185,538.20

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Solution

The fourth proportional to 197,202.20, 295,803.30 and 185,538.20 is: 278,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,202.20 : 295,803.30 = 185,538.20 : x
  2. Step 2: Convert to fraction form
    197,202.20/295,803.30 = 185,538.20/x
  3. Step 3: Cross multiply
    197,202.20x = 295,803.30 × 185,538.20
  4. Step 4: Simplify right side
    197,202.20x = 54,882,811,836.06
  5. Step 5: Solve for x
    x = 54,882,811,836.06/197,202.20
  6. Step 6: Final answer
    x = 278,307.30

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