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Finding the Fourth Proportional to 216,381.36, 324,539.20 and 76,107.20

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Solution

The fourth proportional to 216,381.36, 324,539.20 and 76,107.20 is: 114,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,381.36 : 324,539.20 = 76,107.20 : x
  2. Step 2: Convert to fraction form
    216,381.36/324,539.20 = 76,107.20/x
  3. Step 3: Cross multiply
    216,381.36x = 324,539.20 × 76,107.20
  4. Step 4: Simplify right side
    216,381.36x = 24,699,769,802.24
  5. Step 5: Solve for x
    x = 24,699,769,802.24/216,381.36
  6. Step 6: Final answer
    x = 114,149.25

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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.