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Finding the Fourth Proportional to 274,348.42, 411,640.66 and 105,987.26

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Solution

The fourth proportional to 274,348.42, 411,640.66 and 105,987.26 is: 159,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,348.42 : 411,640.66 = 105,987.26 : x
  2. Step 2: Convert to fraction form
    274,348.42/411,640.66 = 105,987.26/x
  3. Step 3: Cross multiply
    274,348.42x = 411,640.66 × 105,987.26
  4. Step 4: Simplify right side
    274,348.42x = 43,628,665,657.99
  5. Step 5: Solve for x
    x = 43,628,665,657.99/274,348.42
  6. Step 6: Final answer
    x = 159,026.49

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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.