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Finding the Fourth Proportional to 202,003.90, 303,005.85 and 83,635.90

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Solution

The fourth proportional to 202,003.90, 303,005.85 and 83,635.90 is: 125,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,003.90 : 303,005.85 = 83,635.90 : x
  2. Step 2: Convert to fraction form
    202,003.90/303,005.85 = 83,635.90/x
  3. Step 3: Cross multiply
    202,003.90x = 303,005.85 × 83,635.90
  4. Step 4: Simplify right side
    202,003.90x = 25,342,166,970.02
  5. Step 5: Solve for x
    x = 25,342,166,970.02/202,003.90
  6. Step 6: Final answer
    x = 125,453.85

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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.