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Finding the Fourth Proportional to 131,406.26, 197,113.02 and 37,912

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Solution

The fourth proportional to 131,406.26, 197,113.02 and 37,912 is: 56,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,406.26 : 197,113.02 = 37,912 : x
  2. Step 2: Convert to fraction form
    131,406.26/197,113.02 = 37,912/x
  3. Step 3: Cross multiply
    131,406.26x = 197,113.02 × 37,912
  4. Step 4: Simplify right side
    131,406.26x = 7,472,948,814.24
  5. Step 5: Solve for x
    x = 7,472,948,814.24/131,406.26
  6. Step 6: Final answer
    x = 56,869.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.