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Finding the Fourth Proportional to 281,508.96, 422,418.96 and 115,284

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Solution

The fourth proportional to 281,508.96, 422,418.96 and 115,284 is: 172,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,508.96 : 422,418.96 = 115,284 : x
  2. Step 2: Convert to fraction form
    281,508.96/422,418.96 = 115,284/x
  3. Step 3: Cross multiply
    281,508.96x = 422,418.96 × 115,284
  4. Step 4: Simplify right side
    281,508.96x = 48,698,147,384.64
  5. Step 5: Solve for x
    x = 48,698,147,384.64/281,508.96
  6. Step 6: Final answer
    x = 172,989.69

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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.