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Finding the Fourth Proportional to 281,804.19, 422,761.70 and 104,312.73

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Solution

The fourth proportional to 281,804.19, 422,761.70 and 104,312.73 is: 156,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,804.19 : 422,761.70 = 104,312.73 : x
  2. Step 2: Convert to fraction form
    281,804.19/422,761.70 = 104,312.73/x
  3. Step 3: Cross multiply
    281,804.19x = 422,761.70 × 104,312.73
  4. Step 4: Simplify right side
    281,804.19x = 44,099,427,066.44
  5. Step 5: Solve for x
    x = 44,099,427,066.44/281,804.19
  6. Step 6: Final answer
    x = 156,489.61

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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.