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Finding the Fourth Proportional to 281,333.64, 422,000.58 and 123,563.46

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Solution

The fourth proportional to 281,333.64, 422,000.58 and 123,563.46 is: 185,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,333.64 : 422,000.58 = 123,563.46 : x
  2. Step 2: Convert to fraction form
    281,333.64/422,000.58 = 123,563.46/x
  3. Step 3: Cross multiply
    281,333.64x = 422,000.58 × 123,563.46
  4. Step 4: Simplify right side
    281,333.64x = 52,143,851,786.81
  5. Step 5: Solve for x
    x = 52,143,851,786.81/281,333.64
  6. Step 6: Final answer
    x = 185,345.24

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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.