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Finding the Fourth Proportional to 275,795.63, 413,858.69 and 118,024.24

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Solution

The fourth proportional to 275,795.63, 413,858.69 and 118,024.24 is: 177,107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,795.63 : 413,858.69 = 118,024.24 : x
  2. Step 2: Convert to fraction form
    275,795.63/413,858.69 = 118,024.24/x
  3. Step 3: Cross multiply
    275,795.63x = 413,858.69 × 118,024.24
  4. Step 4: Simplify right side
    275,795.63x = 48,845,356,024.94
  5. Step 5: Solve for x
    x = 48,845,356,024.94/275,795.63
  6. Step 6: Final answer
    x = 177,107.07

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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.