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Finding the Fourth Proportional to 201,342.30, 301,685.40 and 148,198.20

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Solution

The fourth proportional to 201,342.30, 301,685.40 and 148,198.20 is: 222,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,342.30 : 301,685.40 = 148,198.20 : x
  2. Step 2: Convert to fraction form
    201,342.30/301,685.40 = 148,198.20/x
  3. Step 3: Cross multiply
    201,342.30x = 301,685.40 × 148,198.20
  4. Step 4: Simplify right side
    201,342.30x = 44,709,233,246.28
  5. Step 5: Solve for x
    x = 44,709,233,246.28/201,342.30
  6. Step 6: Final answer
    x = 222,055.84

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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.