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Finding the Fourth Proportional to 190,058.56, 285,065.92 and 49,828.32

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Solution

The fourth proportional to 190,058.56, 285,065.92 and 49,828.32 is: 74,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,058.56 : 285,065.92 = 49,828.32 : x
  2. Step 2: Convert to fraction form
    190,058.56/285,065.92 = 49,828.32/x
  3. Step 3: Cross multiply
    190,058.56x = 285,065.92 × 49,828.32
  4. Step 4: Simplify right side
    190,058.56x = 14,204,355,882.85
  5. Step 5: Solve for x
    x = 14,204,355,882.85/190,058.56
  6. Step 6: Final answer
    x = 74,736.73

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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.