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Finding the Fourth Proportional to 213,028.68, 319,708.02 and 80,029.80

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Solution

The fourth proportional to 213,028.68, 319,708.02 and 80,029.80 is: 120,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,028.68 : 319,708.02 = 80,029.80 : x
  2. Step 2: Convert to fraction form
    213,028.68/319,708.02 = 80,029.80/x
  3. Step 3: Cross multiply
    213,028.68x = 319,708.02 × 80,029.80
  4. Step 4: Simplify right side
    213,028.68x = 25,586,168,899.00
  5. Step 5: Solve for x
    x = 25,586,168,899.00/213,028.68
  6. Step 6: Final answer
    x = 120,106.69

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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.