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Finding the Fourth Proportional to 229,409.20, 343,422.60 and 201,761.20

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Solution

The fourth proportional to 229,409.20, 343,422.60 and 201,761.20 is: 302,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,409.20 : 343,422.60 = 201,761.20 : x
  2. Step 2: Convert to fraction form
    229,409.20/343,422.60 = 201,761.20/x
  3. Step 3: Cross multiply
    229,409.20x = 343,422.60 × 201,761.20
  4. Step 4: Simplify right side
    229,409.20x = 69,289,355,883.12
  5. Step 5: Solve for x
    x = 69,289,355,883.12/229,409.20
  6. Step 6: Final answer
    x = 302,033.90

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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.