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Finding the Fourth Proportional to 137,601.52, 206,402.46 and 37,763.08

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Solution

The fourth proportional to 137,601.52, 206,402.46 and 37,763.08 is: 56,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,601.52 : 206,402.46 = 37,763.08 : x
  2. Step 2: Convert to fraction form
    137,601.52/206,402.46 = 37,763.08/x
  3. Step 3: Cross multiply
    137,601.52x = 206,402.46 × 37,763.08
  4. Step 4: Simplify right side
    137,601.52x = 7,794,392,609.18
  5. Step 5: Solve for x
    x = 7,794,392,609.18/137,601.52
  6. Step 6: Final answer
    x = 56,644.67

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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.