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Finding the Fourth Proportional to 229,064.40, 343,668.60 and 110,739.60

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Solution

The fourth proportional to 229,064.40, 343,668.60 and 110,739.60 is: 166,144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,064.40 : 343,668.60 = 110,739.60 : x
  2. Step 2: Convert to fraction form
    229,064.40/343,668.60 = 110,739.60/x
  3. Step 3: Cross multiply
    229,064.40x = 343,668.60 × 110,739.60
  4. Step 4: Simplify right side
    229,064.40x = 38,057,723,296.56
  5. Step 5: Solve for x
    x = 38,057,723,296.56/229,064.40
  6. Step 6: Final answer
    x = 166,144.21

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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.