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Finding the Fourth Proportional to 137,722.21, 206,584.22 and 37,892.95

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Solution

The fourth proportional to 137,722.21, 206,584.22 and 37,892.95 is: 56,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,722.21 : 206,584.22 = 37,892.95 : x
  2. Step 2: Convert to fraction form
    137,722.21/206,584.22 = 37,892.95/x
  3. Step 3: Cross multiply
    137,722.21x = 206,584.22 × 37,892.95
  4. Step 4: Simplify right side
    137,722.21x = 7,828,085,097.52
  5. Step 5: Solve for x
    x = 7,828,085,097.52/137,722.21
  6. Step 6: Final answer
    x = 56,839.67

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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.