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Finding the Fourth Proportional to 201,340.30, 301,682.40 and 148,196.20

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Solution

The fourth proportional to 201,340.30, 301,682.40 and 148,196.20 is: 222,052.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,340.30 : 301,682.40 = 148,196.20 : x
  2. Step 2: Convert to fraction form
    201,340.30/301,682.40 = 148,196.20/x
  3. Step 3: Cross multiply
    201,340.30x = 301,682.40 × 148,196.20
  4. Step 4: Simplify right side
    201,340.30x = 44,708,185,286.88
  5. Step 5: Solve for x
    x = 44,708,185,286.88/201,340.30
  6. Step 6: Final answer
    x = 222,052.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.