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Finding the Fourth Proportional to 281,406.42, 422,010 and 103,865.76

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Solution

The fourth proportional to 281,406.42, 422,010 and 103,865.76 is: 155,761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,406.42 : 422,010 = 103,865.76 : x
  2. Step 2: Convert to fraction form
    281,406.42/422,010 = 103,865.76/x
  3. Step 3: Cross multiply
    281,406.42x = 422,010 × 103,865.76
  4. Step 4: Simplify right side
    281,406.42x = 43,832,389,377.60
  5. Step 5: Solve for x
    x = 43,832,389,377.60/281,406.42
  6. Step 6: Final answer
    x = 155,761.87

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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.