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Finding the Fourth Proportional to 190,843.20, 263,822.40 and 145,742.40

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Solution

The fourth proportional to 190,843.20, 263,822.40 and 145,742.40 is: 201,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,843.20 : 263,822.40 = 145,742.40 : x
  2. Step 2: Convert to fraction form
    190,843.20/263,822.40 = 145,742.40/x
  3. Step 3: Cross multiply
    190,843.20x = 263,822.40 × 145,742.40
  4. Step 4: Simplify right side
    190,843.20x = 38,450,109,749.76
  5. Step 5: Solve for x
    x = 38,450,109,749.76/190,843.20
  6. Step 6: Final answer
    x = 201,474.87

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