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Finding the Fourth Proportional to 281,997.36, 389,155.32 and 174,546

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Solution

The fourth proportional to 281,997.36, 389,155.32 and 174,546 is: 240,872.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,997.36 : 389,155.32 = 174,546 : x
  2. Step 2: Convert to fraction form
    281,997.36/389,155.32 = 174,546/x
  3. Step 3: Cross multiply
    281,997.36x = 389,155.32 × 174,546
  4. Step 4: Simplify right side
    281,997.36x = 67,925,504,484.72
  5. Step 5: Solve for x
    x = 67,925,504,484.72/281,997.36
  6. Step 6: Final answer
    x = 240,872.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.