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Finding the Fourth Proportional to 281,744.64, 422,461.44 and 115,649.28

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Solution

The fourth proportional to 281,744.64, 422,461.44 and 115,649.28 is: 173,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,744.64 : 422,461.44 = 115,649.28 : x
  2. Step 2: Convert to fraction form
    281,744.64/422,461.44 = 115,649.28/x
  3. Step 3: Cross multiply
    281,744.64x = 422,461.44 × 115,649.28
  4. Step 4: Simplify right side
    281,744.64x = 48,857,361,363.76
  5. Step 5: Solve for x
    x = 48,857,361,363.76/281,744.64
  6. Step 6: Final answer
    x = 173,410.08

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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.