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Finding the Fourth Proportional to 193,080.40, 289,620.60 and 159,619.30

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Solution

The fourth proportional to 193,080.40, 289,620.60 and 159,619.30 is: 239,428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,080.40 : 289,620.60 = 159,619.30 : x
  2. Step 2: Convert to fraction form
    193,080.40/289,620.60 = 159,619.30/x
  3. Step 3: Cross multiply
    193,080.40x = 289,620.60 × 159,619.30
  4. Step 4: Simplify right side
    193,080.40x = 46,229,037,437.58
  5. Step 5: Solve for x
    x = 46,229,037,437.58/193,080.40
  6. Step 6: Final answer
    x = 239,428.95

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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.