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Finding the Fourth Proportional to 216,216, 324,241.38 and 103,864.14

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Solution

The fourth proportional to 216,216, 324,241.38 and 103,864.14 is: 155,756.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,216 : 324,241.38 = 103,864.14 : x
  2. Step 2: Convert to fraction form
    216,216/324,241.38 = 103,864.14/x
  3. Step 3: Cross multiply
    216,216x = 324,241.38 × 103,864.14
  4. Step 4: Simplify right side
    216,216x = 33,677,052,086.11
  5. Step 5: Solve for x
    x = 33,677,052,086.11/216,216
  6. Step 6: Final answer
    x = 155,756.52

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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.