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Finding the Fourth Proportional to 190,127.57, 285,471.71 and 106,052

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Solution

The fourth proportional to 190,127.57, 285,471.71 and 106,052 is: 159,234.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,127.57 : 285,471.71 = 106,052 : x
  2. Step 2: Convert to fraction form
    190,127.57/285,471.71 = 106,052/x
  3. Step 3: Cross multiply
    190,127.57x = 285,471.71 × 106,052
  4. Step 4: Simplify right side
    190,127.57x = 30,274,845,258.66
  5. Step 5: Solve for x
    x = 30,274,845,258.66/190,127.57
  6. Step 6: Final answer
    x = 159,234.38

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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.