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Finding the Fourth Proportional to 190,127.44, 285,471.52 and 106,051.87

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Solution

The fourth proportional to 190,127.44, 285,471.52 and 106,051.87 is: 159,234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,127.44 : 285,471.52 = 106,051.87 : x
  2. Step 2: Convert to fraction form
    190,127.44/285,471.52 = 106,051.87/x
  3. Step 3: Cross multiply
    190,127.44x = 285,471.52 × 106,051.87
  4. Step 4: Simplify right side
    190,127.44x = 30,274,787,548.93
  5. Step 5: Solve for x
    x = 30,274,787,548.93/190,127.44
  6. Step 6: Final answer
    x = 159,234.18

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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.