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Finding the Fourth Proportional to 202,492.30, 303,734.35 and 52,729.28

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Solution

The fourth proportional to 202,492.30, 303,734.35 and 52,729.28 is: 79,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,492.30 : 303,734.35 = 52,729.28 : x
  2. Step 2: Convert to fraction form
    202,492.30/303,734.35 = 52,729.28/x
  3. Step 3: Cross multiply
    202,492.30x = 303,734.35 × 52,729.28
  4. Step 4: Simplify right side
    202,492.30x = 16,015,693,586.77
  5. Step 5: Solve for x
    x = 16,015,693,586.77/202,492.30
  6. Step 6: Final answer
    x = 79,092.85

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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.