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Finding the Fourth Proportional to 216,821.20, 325,231.80 and 181,829.20

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Solution

The fourth proportional to 216,821.20, 325,231.80 and 181,829.20 is: 272,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,821.20 : 325,231.80 = 181,829.20 : x
  2. Step 2: Convert to fraction form
    216,821.20/325,231.80 = 181,829.20/x
  3. Step 3: Cross multiply
    216,821.20x = 325,231.80 × 181,829.20
  4. Step 4: Simplify right side
    216,821.20x = 59,136,638,008.56
  5. Step 5: Solve for x
    x = 59,136,638,008.56/216,821.20
  6. Step 6: Final answer
    x = 272,743.80

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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.