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Finding the Fourth Proportional to 281,283, 422,028.18 and 148,157.88

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Solution

The fourth proportional to 281,283, 422,028.18 and 148,157.88 is: 222,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,283 : 422,028.18 = 148,157.88 : x
  2. Step 2: Convert to fraction form
    281,283/422,028.18 = 148,157.88/x
  3. Step 3: Cross multiply
    281,283x = 422,028.18 × 148,157.88
  4. Step 4: Simplify right side
    281,283x = 62,526,800,449.06
  5. Step 5: Solve for x
    x = 62,526,800,449.06/281,283
  6. Step 6: Final answer
    x = 222,291.43

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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.