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Finding the Fourth Proportional to 202,151.11, 303,137.85 and 75,702.67

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Solution

The fourth proportional to 202,151.11, 303,137.85 and 75,702.67 is: 113,520.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,151.11 : 303,137.85 = 75,702.67 : x
  2. Step 2: Convert to fraction form
    202,151.11/303,137.85 = 75,702.67/x
  3. Step 3: Cross multiply
    202,151.11x = 303,137.85 × 75,702.67
  4. Step 4: Simplify right side
    202,151.11x = 22,948,344,623.06
  5. Step 5: Solve for x
    x = 22,948,344,623.06/202,151.11
  6. Step 6: Final answer
    x = 113,520.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.