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Finding the Fourth Proportional to 223,814.14, 308,863.20 and 123,212.14

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Solution

The fourth proportional to 223,814.14, 308,863.20 and 123,212.14 is: 170,032.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,814.14 : 308,863.20 = 123,212.14 : x
  2. Step 2: Convert to fraction form
    223,814.14/308,863.20 = 123,212.14/x
  3. Step 3: Cross multiply
    223,814.14x = 308,863.20 × 123,212.14
  4. Step 4: Simplify right side
    223,814.14x = 38,055,695,839.25
  5. Step 5: Solve for x
    x = 38,055,695,839.25/223,814.14
  6. Step 6: Final answer
    x = 170,032.58

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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.