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Finding the Fourth Proportional to 202,139.05, 303,166.05 and 102,205.30

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Solution

The fourth proportional to 202,139.05, 303,166.05 and 102,205.30 is: 153,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,139.05 : 303,166.05 = 102,205.30 : x
  2. Step 2: Convert to fraction form
    202,139.05/303,166.05 = 102,205.30/x
  3. Step 3: Cross multiply
    202,139.05x = 303,166.05 × 102,205.30
  4. Step 4: Simplify right side
    202,139.05x = 30,985,177,090.07
  5. Step 5: Solve for x
    x = 30,985,177,090.07/202,139.05
  6. Step 6: Final answer
    x = 153,286.45

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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.