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Finding the Fourth Proportional to 216,513.40, 324,770.50 and 83,456.32

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Solution

The fourth proportional to 216,513.40, 324,770.50 and 83,456.32 is: 125,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,513.40 : 324,770.50 = 83,456.32 : x
  2. Step 2: Convert to fraction form
    216,513.40/324,770.50 = 83,456.32/x
  3. Step 3: Cross multiply
    216,513.40x = 324,770.50 × 83,456.32
  4. Step 4: Simplify right side
    216,513.40x = 27,104,150,774.56
  5. Step 5: Solve for x
    x = 27,104,150,774.56/216,513.40
  6. Step 6: Final answer
    x = 125,184.63

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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.