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Finding the Fourth Proportional to 223,551.24, 308,494.56 and 122,949.24

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Solution

The fourth proportional to 223,551.24, 308,494.56 and 122,949.24 is: 169,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,551.24 : 308,494.56 = 122,949.24 : x
  2. Step 2: Convert to fraction form
    223,551.24/308,494.56 = 122,949.24/x
  3. Step 3: Cross multiply
    223,551.24x = 308,494.56 × 122,949.24
  4. Step 4: Simplify right side
    223,551.24x = 37,929,171,696.13
  5. Step 5: Solve for x
    x = 37,929,171,696.13/223,551.24
  6. Step 6: Final answer
    x = 169,666.57

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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.