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Finding the Fourth Proportional to 270,051.96, 372,664.50 and 149,173.76

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Solution

The fourth proportional to 270,051.96, 372,664.50 and 149,173.76 is: 205,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,051.96 : 372,664.50 = 149,173.76 : x
  2. Step 2: Convert to fraction form
    270,051.96/372,664.50 = 149,173.76/x
  3. Step 3: Cross multiply
    270,051.96x = 372,664.50 × 149,173.76
  4. Step 4: Simplify right side
    270,051.96x = 55,591,764,683.52
  5. Step 5: Solve for x
    x = 55,591,764,683.52/270,051.96
  6. Step 6: Final answer
    x = 205,855.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.