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Finding the Fourth Proportional to 307,668.17, 461,556.43 and 105,216.68

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Solution

The fourth proportional to 307,668.17, 461,556.43 and 105,216.68 is: 157,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,668.17 : 461,556.43 = 105,216.68 : x
  2. Step 2: Convert to fraction form
    307,668.17/461,556.43 = 105,216.68/x
  3. Step 3: Cross multiply
    307,668.17x = 461,556.43 × 105,216.68
  4. Step 4: Simplify right side
    307,668.17x = 48,563,436,088.10
  5. Step 5: Solve for x
    x = 48,563,436,088.10/307,668.17
  6. Step 6: Final answer
    x = 157,843.55

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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.