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Finding the Fourth Proportional to 190,674, 262,197 and 165,479.76

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Solution

The fourth proportional to 190,674, 262,197 and 165,479.76 is: 227,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,674 : 262,197 = 165,479.76 : x
  2. Step 2: Convert to fraction form
    190,674/262,197 = 165,479.76/x
  3. Step 3: Cross multiply
    190,674x = 262,197 × 165,479.76
  4. Step 4: Simplify right side
    190,674x = 43,388,296,632.72
  5. Step 5: Solve for x
    x = 43,388,296,632.72/190,674
  6. Step 6: Final answer
    x = 227,552.24

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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.