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Finding the Fourth Proportional to 201,698.40, 302,029.20 and 148,821.60

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Solution

The fourth proportional to 201,698.40, 302,029.20 and 148,821.60 is: 222,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,698.40 : 302,029.20 = 148,821.60 : x
  2. Step 2: Convert to fraction form
    201,698.40/302,029.20 = 148,821.60/x
  3. Step 3: Cross multiply
    201,698.40x = 302,029.20 × 148,821.60
  4. Step 4: Simplify right side
    201,698.40x = 44,948,468,790.72
  5. Step 5: Solve for x
    x = 44,948,468,790.72/201,698.40
  6. Step 6: Final answer
    x = 222,849.90

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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.