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Finding the Fourth Proportional to 202,303.20, 303,325.20 and 84,021.60

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Solution

The fourth proportional to 202,303.20, 303,325.20 and 84,021.60 is: 125,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,303.20 : 303,325.20 = 84,021.60 : x
  2. Step 2: Convert to fraction form
    202,303.20/303,325.20 = 84,021.60/x
  3. Step 3: Cross multiply
    202,303.20x = 303,325.20 × 84,021.60
  4. Step 4: Simplify right side
    202,303.20x = 25,485,868,624.32
  5. Step 5: Solve for x
    x = 25,485,868,624.32/202,303.20
  6. Step 6: Final answer
    x = 125,978.57

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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.