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Finding the Fourth Proportional to 190,843.80, 285,828.30 and 186,469.80

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Solution

The fourth proportional to 190,843.80, 285,828.30 and 186,469.80 is: 279,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,843.80 : 285,828.30 = 186,469.80 : x
  2. Step 2: Convert to fraction form
    190,843.80/285,828.30 = 186,469.80/x
  3. Step 3: Cross multiply
    190,843.80x = 285,828.30 × 186,469.80
  4. Step 4: Simplify right side
    190,843.80x = 53,298,345,935.34
  5. Step 5: Solve for x
    x = 53,298,345,935.34/190,843.80
  6. Step 6: Final answer
    x = 279,277.32

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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.