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Finding the Fourth Proportional to 137,266.26, 205,893.30 and 37,426.50

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Solution

The fourth proportional to 137,266.26, 205,893.30 and 37,426.50 is: 56,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,266.26 : 205,893.30 = 37,426.50 : x
  2. Step 2: Convert to fraction form
    137,266.26/205,893.30 = 37,426.50/x
  3. Step 3: Cross multiply
    137,266.26x = 205,893.30 × 37,426.50
  4. Step 4: Simplify right side
    137,266.26x = 7,705,865,592.45
  5. Step 5: Solve for x
    x = 7,705,865,592.45/137,266.26
  6. Step 6: Final answer
    x = 56,138.09

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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.