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Finding the Fourth Proportional to 132,194.34, 198,266.04 and 37,423.80

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Solution

The fourth proportional to 132,194.34, 198,266.04 and 37,423.80 is: 56,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,194.34 : 198,266.04 = 37,423.80 : x
  2. Step 2: Convert to fraction form
    132,194.34/198,266.04 = 37,423.80/x
  3. Step 3: Cross multiply
    132,194.34x = 198,266.04 × 37,423.80
  4. Step 4: Simplify right side
    132,194.34x = 7,419,868,627.75
  5. Step 5: Solve for x
    x = 7,419,868,627.75/132,194.34
  6. Step 6: Final answer
    x = 56,128.49

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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.