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Finding the Fourth Proportional to 223,918.14, 309,021.09 and 123,316.14

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Solution

The fourth proportional to 223,918.14, 309,021.09 and 123,316.14 is: 170,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,918.14 : 309,021.09 = 123,316.14 : x
  2. Step 2: Convert to fraction form
    223,918.14/309,021.09 = 123,316.14/x
  3. Step 3: Cross multiply
    223,918.14x = 309,021.09 × 123,316.14
  4. Step 4: Simplify right side
    223,918.14x = 38,107,287,997.39
  5. Step 5: Solve for x
    x = 38,107,287,997.39/223,918.14
  6. Step 6: Final answer
    x = 170,184.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.