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Finding the Fourth Proportional to 201,735.40, 302,084.70 and 148,858.60

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Solution

The fourth proportional to 201,735.40, 302,084.70 and 148,858.60 is: 222,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,735.40 : 302,084.70 = 148,858.60 : x
  2. Step 2: Convert to fraction form
    201,735.40/302,084.70 = 148,858.60/x
  3. Step 3: Cross multiply
    201,735.40x = 302,084.70 × 148,858.60
  4. Step 4: Simplify right side
    201,735.40x = 44,967,905,523.42
  5. Step 5: Solve for x
    x = 44,967,905,523.42/201,735.40
  6. Step 6: Final answer
    x = 222,905.38

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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.