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Finding the Fourth Proportional to 218,696.68, 301,802.34 and 123,204.52

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Solution

The fourth proportional to 218,696.68, 301,802.34 and 123,204.52 is: 170,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,696.68 : 301,802.34 = 123,204.52 : x
  2. Step 2: Convert to fraction form
    218,696.68/301,802.34 = 123,204.52/x
  3. Step 3: Cross multiply
    218,696.68x = 301,802.34 × 123,204.52
  4. Step 4: Simplify right side
    218,696.68x = 37,183,412,434.58
  5. Step 5: Solve for x
    x = 37,183,412,434.58/218,696.68
  6. Step 6: Final answer
    x = 170,022.76

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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.