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Finding the Fourth Proportional to 201,336.30, 301,676.40 and 148,192.20

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Solution

The fourth proportional to 201,336.30, 301,676.40 and 148,192.20 is: 222,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,336.30 : 301,676.40 = 148,192.20 : x
  2. Step 2: Convert to fraction form
    201,336.30/301,676.40 = 148,192.20/x
  3. Step 3: Cross multiply
    201,336.30x = 301,676.40 × 148,192.20
  4. Step 4: Simplify right side
    201,336.30x = 44,706,089,404.08
  5. Step 5: Solve for x
    x = 44,706,089,404.08/201,336.30
  6. Step 6: Final answer
    x = 222,046.84

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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.