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Finding the Fourth Proportional to 274,323.51, 411,503.49 and 105,845.94

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Solution

The fourth proportional to 274,323.51, 411,503.49 and 105,845.94 is: 158,775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,323.51 : 411,503.49 = 105,845.94 : x
  2. Step 2: Convert to fraction form
    274,323.51/411,503.49 = 105,845.94/x
  3. Step 3: Cross multiply
    274,323.51x = 411,503.49 × 105,845.94
  4. Step 4: Simplify right side
    274,323.51x = 43,555,973,712.33
  5. Step 5: Solve for x
    x = 43,555,973,712.33/274,323.51
  6. Step 6: Final answer
    x = 158,775.94

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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.