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Finding the Fourth Proportional to 202,538.60, 303,662.10 and 113,819.30

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Solution

The fourth proportional to 202,538.60, 303,662.10 and 113,819.30 is: 170,647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,538.60 : 303,662.10 = 113,819.30 : x
  2. Step 2: Convert to fraction form
    202,538.60/303,662.10 = 113,819.30/x
  3. Step 3: Cross multiply
    202,538.60x = 303,662.10 × 113,819.30
  4. Step 4: Simplify right side
    202,538.60x = 34,562,607,658.53
  5. Step 5: Solve for x
    x = 34,562,607,658.53/202,538.60
  6. Step 6: Final answer
    x = 170,647.02

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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.