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Finding the Fourth Proportional to 218,382.48, 301,343.40 and 122,922

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Solution

The fourth proportional to 218,382.48, 301,343.40 and 122,922 is: 169,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,382.48 : 301,343.40 = 122,922 : x
  2. Step 2: Convert to fraction form
    218,382.48/301,343.40 = 122,922/x
  3. Step 3: Cross multiply
    218,382.48x = 301,343.40 × 122,922
  4. Step 4: Simplify right side
    218,382.48x = 37,041,733,414.80
  5. Step 5: Solve for x
    x = 37,041,733,414.80/218,382.48
  6. Step 6: Final answer
    x = 169,618.61

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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.