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Finding the Fourth Proportional to 295,668.80, 443,416.80 and 106,107.20

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Solution

The fourth proportional to 295,668.80, 443,416.80 and 106,107.20 is: 159,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,668.80 : 443,416.80 = 106,107.20 : x
  2. Step 2: Convert to fraction form
    295,668.80/443,416.80 = 106,107.20/x
  3. Step 3: Cross multiply
    295,668.80x = 443,416.80 × 106,107.20
  4. Step 4: Simplify right side
    295,668.80x = 47,049,715,080.96
  5. Step 5: Solve for x
    x = 47,049,715,080.96/295,668.80
  6. Step 6: Final answer
    x = 159,129.79

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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.