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Finding the Fourth Proportional to 216,542.24, 324,869.39 and 66,779.21

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Solution

The fourth proportional to 216,542.24, 324,869.39 and 66,779.21 is: 100,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,542.24 : 324,869.39 = 66,779.21 : x
  2. Step 2: Convert to fraction form
    216,542.24/324,869.39 = 66,779.21/x
  3. Step 3: Cross multiply
    216,542.24x = 324,869.39 × 66,779.21
  4. Step 4: Simplify right side
    216,542.24x = 21,694,522,196.50
  5. Step 5: Solve for x
    x = 21,694,522,196.50/216,542.24
  6. Step 6: Final answer
    x = 100,186.10

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Why These Related Problems?

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