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Finding the Fourth Proportional to 223,930.44, 309,009.96 and 123,328.44

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Solution

The fourth proportional to 223,930.44, 309,009.96 and 123,328.44 is: 170,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,930.44 : 309,009.96 = 123,328.44 : x
  2. Step 2: Convert to fraction form
    223,930.44/309,009.96 = 123,328.44/x
  3. Step 3: Cross multiply
    223,930.44x = 309,009.96 × 123,328.44
  4. Step 4: Simplify right side
    223,930.44x = 38,109,716,311.26
  5. Step 5: Solve for x
    x = 38,109,716,311.26/223,930.44
  6. Step 6: Final answer
    x = 170,185.51

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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.