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Finding the Fourth Proportional to 177,221.36, 265,846.44 and 52,562

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Solution

The fourth proportional to 177,221.36, 265,846.44 and 52,562 is: 78,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,221.36 : 265,846.44 = 52,562 : x
  2. Step 2: Convert to fraction form
    177,221.36/265,846.44 = 52,562/x
  3. Step 3: Cross multiply
    177,221.36x = 265,846.44 × 52,562
  4. Step 4: Simplify right side
    177,221.36x = 13,973,420,579.28
  5. Step 5: Solve for x
    x = 13,973,420,579.28/177,221.36
  6. Step 6: Final answer
    x = 78,847.27

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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.