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Finding the Fourth Proportional to 281,580.96, 422,047.44 and 123,624.48

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Solution

The fourth proportional to 281,580.96, 422,047.44 and 123,624.48 is: 185,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,580.96 : 422,047.44 = 123,624.48 : x
  2. Step 2: Convert to fraction form
    281,580.96/422,047.44 = 123,624.48/x
  3. Step 3: Cross multiply
    281,580.96x = 422,047.44 × 123,624.48
  4. Step 4: Simplify right side
    281,580.96x = 52,175,395,305.33
  5. Step 5: Solve for x
    x = 52,175,395,305.33/281,580.96
  6. Step 6: Final answer
    x = 185,294.47

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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.