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Finding the Fourth Proportional to 183,852.78, 275,805.09 and 65,498.82

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Solution

The fourth proportional to 183,852.78, 275,805.09 and 65,498.82 is: 98,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,852.78 : 275,805.09 = 65,498.82 : x
  2. Step 2: Convert to fraction form
    183,852.78/275,805.09 = 65,498.82/x
  3. Step 3: Cross multiply
    183,852.78x = 275,805.09 × 65,498.82
  4. Step 4: Simplify right side
    183,852.78x = 18,064,907,944.99
  5. Step 5: Solve for x
    x = 18,064,907,944.99/183,852.78
  6. Step 6: Final answer
    x = 98,257.46

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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.