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Finding the Fourth Proportional to 274,416.55, 411,388.22 and 106,055.01

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Solution

The fourth proportional to 274,416.55, 411,388.22 and 106,055.01 is: 158,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,416.55 : 411,388.22 = 106,055.01 : x
  2. Step 2: Convert to fraction form
    274,416.55/411,388.22 = 106,055.01/x
  3. Step 3: Cross multiply
    274,416.55x = 411,388.22 × 106,055.01
  4. Step 4: Simplify right side
    274,416.55x = 43,629,782,051.12
  5. Step 5: Solve for x
    x = 43,629,782,051.12/274,416.55
  6. Step 6: Final answer
    x = 158,991.08

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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.