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Finding the Fourth Proportional to 281,656.24, 422,463.84 and 104,080.48

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Solution

The fourth proportional to 281,656.24, 422,463.84 and 104,080.48 is: 156,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,656.24 : 422,463.84 = 104,080.48 : x
  2. Step 2: Convert to fraction form
    281,656.24/422,463.84 = 104,080.48/x
  3. Step 3: Cross multiply
    281,656.24x = 422,463.84 × 104,080.48
  4. Step 4: Simplify right side
    281,656.24x = 43,970,239,249.84
  5. Step 5: Solve for x
    x = 43,970,239,249.84/281,656.24
  6. Step 6: Final answer
    x = 156,113.14

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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.