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Finding the Fourth Proportional to 202,816.80, 304,225.20 and 84,448.80

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Solution

The fourth proportional to 202,816.80, 304,225.20 and 84,448.80 is: 126,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,816.80 : 304,225.20 = 84,448.80 : x
  2. Step 2: Convert to fraction form
    202,816.80/304,225.20 = 84,448.80/x
  3. Step 3: Cross multiply
    202,816.80x = 304,225.20 × 84,448.80
  4. Step 4: Simplify right side
    202,816.80x = 25,691,453,069.76
  5. Step 5: Solve for x
    x = 25,691,453,069.76/202,816.80
  6. Step 6: Final answer
    x = 126,673.20

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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.