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Finding the Fourth Proportional to 202,193.70, 303,412.05 and 83,852.70

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Solution

The fourth proportional to 202,193.70, 303,412.05 and 83,852.70 is: 125,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,193.70 : 303,412.05 = 83,852.70 : x
  2. Step 2: Convert to fraction form
    202,193.70/303,412.05 = 83,852.70/x
  3. Step 3: Cross multiply
    202,193.70x = 303,412.05 × 83,852.70
  4. Step 4: Simplify right side
    202,193.70x = 25,441,919,605.04
  5. Step 5: Solve for x
    x = 25,441,919,605.04/202,193.70
  6. Step 6: Final answer
    x = 125,829.44

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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.