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Finding the Fourth Proportional to 201,107.20, 301,830.90 and 82,863.40

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Solution

The fourth proportional to 201,107.20, 301,830.90 and 82,863.40 is: 124,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,107.20 : 301,830.90 = 82,863.40 : x
  2. Step 2: Convert to fraction form
    201,107.20/301,830.90 = 82,863.40/x
  3. Step 3: Cross multiply
    201,107.20x = 301,830.90 × 82,863.40
  4. Step 4: Simplify right side
    201,107.20x = 25,010,734,599.06
  5. Step 5: Solve for x
    x = 25,010,734,599.06/201,107.20
  6. Step 6: Final answer
    x = 124,365.19

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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.