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Finding the Fourth Proportional to 182,852.80, 274,388.16 and 81,642.97

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Solution

The fourth proportional to 182,852.80, 274,388.16 and 81,642.97 is: 122,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,852.80 : 274,388.16 = 81,642.97 : x
  2. Step 2: Convert to fraction form
    182,852.80/274,388.16 = 81,642.97/x
  3. Step 3: Cross multiply
    182,852.80x = 274,388.16 × 81,642.97
  4. Step 4: Simplify right side
    182,852.80x = 22,401,864,315.24
  5. Step 5: Solve for x
    x = 22,401,864,315.24/182,852.80
  6. Step 6: Final answer
    x = 122,513.11

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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.