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Finding the Fourth Proportional to 190,682, 262,208.04 and 165,487.76

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Solution

The fourth proportional to 190,682, 262,208.04 and 165,487.76 is: 227,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,682 : 262,208.04 = 165,487.76 : x
  2. Step 2: Convert to fraction form
    190,682/262,208.04 = 165,487.76/x
  3. Step 3: Cross multiply
    190,682x = 262,208.04 × 165,487.76
  4. Step 4: Simplify right side
    190,682x = 43,392,221,193.59
  5. Step 5: Solve for x
    x = 43,392,221,193.59/190,682
  6. Step 6: Final answer
    x = 227,563.28

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Why These Related Problems?

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