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Finding the Fourth Proportional to 202,205.70, 303,430.05 and 83,864.70

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Solution

The fourth proportional to 202,205.70, 303,430.05 and 83,864.70 is: 125,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,205.70 : 303,430.05 = 83,864.70 : x
  2. Step 2: Convert to fraction form
    202,205.70/303,430.05 = 83,864.70/x
  3. Step 3: Cross multiply
    202,205.70x = 303,430.05 × 83,864.70
  4. Step 4: Simplify right side
    202,205.70x = 25,447,070,114.24
  5. Step 5: Solve for x
    x = 25,447,070,114.24/202,205.70
  6. Step 6: Final answer
    x = 125,847.44

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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.