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Finding the Fourth Proportional to 202,135.40, 302,960.10 and 83,745.80

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Solution

The fourth proportional to 202,135.40, 302,960.10 and 83,745.80 is: 125,518.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,135.40 : 302,960.10 = 83,745.80 : x
  2. Step 2: Convert to fraction form
    202,135.40/302,960.10 = 83,745.80/x
  3. Step 3: Cross multiply
    202,135.40x = 302,960.10 × 83,745.80
  4. Step 4: Simplify right side
    202,135.40x = 25,371,635,942.58
  5. Step 5: Solve for x
    x = 25,371,635,942.58/202,135.40
  6. Step 6: Final answer
    x = 125,518.02

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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.