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Finding the Fourth Proportional to 229,668.08, 344,181.36 and 111,308

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Solution

The fourth proportional to 229,668.08, 344,181.36 and 111,308 is: 166,806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,668.08 : 344,181.36 = 111,308 : x
  2. Step 2: Convert to fraction form
    229,668.08/344,181.36 = 111,308/x
  3. Step 3: Cross multiply
    229,668.08x = 344,181.36 × 111,308
  4. Step 4: Simplify right side
    229,668.08x = 38,310,138,818.88
  5. Step 5: Solve for x
    x = 38,310,138,818.88/229,668.08
  6. Step 6: Final answer
    x = 166,806.54

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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.