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Finding the Fourth Proportional to 202,231.71, 279,104.46 and 116,190.51

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Solution

The fourth proportional to 202,231.71, 279,104.46 and 116,190.51 is: 160,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,231.71 : 279,104.46 = 116,190.51 : x
  2. Step 2: Convert to fraction form
    202,231.71/279,104.46 = 116,190.51/x
  3. Step 3: Cross multiply
    202,231.71x = 279,104.46 × 116,190.51
  4. Step 4: Simplify right side
    202,231.71x = 32,429,289,550.67
  5. Step 5: Solve for x
    x = 32,429,289,550.67/202,231.71
  6. Step 6: Final answer
    x = 160,357.10

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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.