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Finding the Fourth Proportional to 222,403.60, 333,605.40 and 82,133.20

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Solution

The fourth proportional to 222,403.60, 333,605.40 and 82,133.20 is: 123,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,403.60 : 333,605.40 = 82,133.20 : x
  2. Step 2: Convert to fraction form
    222,403.60/333,605.40 = 82,133.20/x
  3. Step 3: Cross multiply
    222,403.60x = 333,605.40 × 82,133.20
  4. Step 4: Simplify right side
    222,403.60x = 27,400,079,039.28
  5. Step 5: Solve for x
    x = 27,400,079,039.28/222,403.60
  6. Step 6: Final answer
    x = 123,199.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.