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Finding the Fourth Proportional to 137,834.72, 206,620.86 and 44,274.88

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Solution

The fourth proportional to 137,834.72, 206,620.86 and 44,274.88 is: 66,370.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,834.72 : 206,620.86 = 44,274.88 : x
  2. Step 2: Convert to fraction form
    137,834.72/206,620.86 = 44,274.88/x
  3. Step 3: Cross multiply
    137,834.72x = 206,620.86 × 44,274.88
  4. Step 4: Simplify right side
    137,834.72x = 9,148,113,782.00
  5. Step 5: Solve for x
    x = 9,148,113,782.00/137,834.72
  6. Step 6: Final answer
    x = 66,370.17

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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.