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Finding the Fourth Proportional to 150,653.37, 207,894.64 and 82,668.64

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Solution

The fourth proportional to 150,653.37, 207,894.64 and 82,668.64 is: 114,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,653.37 : 207,894.64 = 82,668.64 : x
  2. Step 2: Convert to fraction form
    150,653.37/207,894.64 = 82,668.64/x
  3. Step 3: Cross multiply
    150,653.37x = 207,894.64 × 82,668.64
  4. Step 4: Simplify right side
    150,653.37x = 17,186,367,152.09
  5. Step 5: Solve for x
    x = 17,186,367,152.09/150,653.37
  6. Step 6: Final answer
    x = 114,078.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.