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Finding the Fourth Proportional to 193,202.30, 289,414.65 and 130,216.70

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Solution

The fourth proportional to 193,202.30, 289,414.65 and 130,216.70 is: 195,063.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,202.30 : 289,414.65 = 130,216.70 : x
  2. Step 2: Convert to fraction form
    193,202.30/289,414.65 = 130,216.70/x
  3. Step 3: Cross multiply
    193,202.30x = 289,414.65 × 130,216.70
  4. Step 4: Simplify right side
    193,202.30x = 37,686,620,654.66
  5. Step 5: Solve for x
    x = 37,686,620,654.66/193,202.30
  6. Step 6: Final answer
    x = 195,063.00

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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.