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Finding the Fourth Proportional to 202,098.10, 303,148.20 and 52,327.90

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Solution

The fourth proportional to 202,098.10, 303,148.20 and 52,327.90 is: 78,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,098.10 : 303,148.20 = 52,327.90 : x
  2. Step 2: Convert to fraction form
    202,098.10/303,148.20 = 52,327.90/x
  3. Step 3: Cross multiply
    202,098.10x = 303,148.20 × 52,327.90
  4. Step 4: Simplify right side
    202,098.10x = 15,863,108,694.78
  5. Step 5: Solve for x
    x = 15,863,108,694.78/202,098.10
  6. Step 6: Final answer
    x = 78,492.12

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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.