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Finding the Fourth Proportional to 137,668.36, 206,524.14 and 58,783

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Solution

The fourth proportional to 137,668.36, 206,524.14 and 58,783 is: 88,183.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,668.36 : 206,524.14 = 58,783 : x
  2. Step 2: Convert to fraction form
    137,668.36/206,524.14 = 58,783/x
  3. Step 3: Cross multiply
    137,668.36x = 206,524.14 × 58,783
  4. Step 4: Simplify right side
    137,668.36x = 12,140,108,521.62
  5. Step 5: Solve for x
    x = 12,140,108,521.62/137,668.36
  6. Step 6: Final answer
    x = 88,183.72

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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.