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Finding the Fourth Proportional to 216,822.30, 325,233.45 and 201,075.90

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Solution

The fourth proportional to 216,822.30, 325,233.45 and 201,075.90 is: 301,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,822.30 : 325,233.45 = 201,075.90 : x
  2. Step 2: Convert to fraction form
    216,822.30/325,233.45 = 201,075.90/x
  3. Step 3: Cross multiply
    216,822.30x = 325,233.45 × 201,075.90
  4. Step 4: Simplify right side
    216,822.30x = 65,396,608,668.86
  5. Step 5: Solve for x
    x = 65,396,608,668.86/216,822.30
  6. Step 6: Final answer
    x = 301,613.85

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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.