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Finding the Fourth Proportional to 202,694.60, 304,041.90 and 165,830.60

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Solution

The fourth proportional to 202,694.60, 304,041.90 and 165,830.60 is: 248,745.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,694.60 : 304,041.90 = 165,830.60 : x
  2. Step 2: Convert to fraction form
    202,694.60/304,041.90 = 165,830.60/x
  3. Step 3: Cross multiply
    202,694.60x = 304,041.90 × 165,830.60
  4. Step 4: Simplify right side
    202,694.60x = 50,419,450,702.14
  5. Step 5: Solve for x
    x = 50,419,450,702.14/202,694.60
  6. Step 6: Final answer
    x = 248,745.90

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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.