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Finding the Fourth Proportional to 202,387.70, 303,581.55 and 97,181.30

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Solution

The fourth proportional to 202,387.70, 303,581.55 and 97,181.30 is: 145,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,387.70 : 303,581.55 = 97,181.30 : x
  2. Step 2: Convert to fraction form
    202,387.70/303,581.55 = 97,181.30/x
  3. Step 3: Cross multiply
    202,387.70x = 303,581.55 × 97,181.30
  4. Step 4: Simplify right side
    202,387.70x = 29,502,449,685.02
  5. Step 5: Solve for x
    x = 29,502,449,685.02/202,387.70
  6. Step 6: Final answer
    x = 145,771.95

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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.