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Finding the Fourth Proportional to 218,437.36, 327,400.38 and 83,412.99

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Solution

The fourth proportional to 218,437.36, 327,400.38 and 83,412.99 is: 125,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,437.36 : 327,400.38 = 83,412.99 : x
  2. Step 2: Convert to fraction form
    218,437.36/327,400.38 = 83,412.99/x
  3. Step 3: Cross multiply
    218,437.36x = 327,400.38 × 83,412.99
  4. Step 4: Simplify right side
    218,437.36x = 27,309,444,622.94
  5. Step 5: Solve for x
    x = 27,309,444,622.94/218,437.36
  6. Step 6: Final answer
    x = 125,021.86

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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.