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Finding the Fourth Proportional to 213,892.36, 295,178.40 and 123,241.12

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Solution

The fourth proportional to 213,892.36, 295,178.40 and 123,241.12 is: 170,076.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,892.36 : 295,178.40 = 123,241.12 : x
  2. Step 2: Convert to fraction form
    213,892.36/295,178.40 = 123,241.12/x
  3. Step 3: Cross multiply
    213,892.36x = 295,178.40 × 123,241.12
  4. Step 4: Simplify right side
    213,892.36x = 36,378,116,615.81
  5. Step 5: Solve for x
    x = 36,378,116,615.81/213,892.36
  6. Step 6: Final answer
    x = 170,076.75

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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.