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Finding the Fourth Proportional to 148,640.89, 222,933.30 and 42,024

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Solution

The fourth proportional to 148,640.89, 222,933.30 and 42,024 is: 63,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,640.89 : 222,933.30 = 42,024 : x
  2. Step 2: Convert to fraction form
    148,640.89/222,933.30 = 42,024/x
  3. Step 3: Cross multiply
    148,640.89x = 222,933.30 × 42,024
  4. Step 4: Simplify right side
    148,640.89x = 9,368,548,999.20
  5. Step 5: Solve for x
    x = 9,368,548,999.20/148,640.89
  6. Step 6: Final answer
    x = 63,028.07

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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.