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Finding the Fourth Proportional to 132,078.86, 198,114.74 and 37,315.58

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Solution

The fourth proportional to 132,078.86, 198,114.74 and 37,315.58 is: 55,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,078.86 : 198,114.74 = 37,315.58 : x
  2. Step 2: Convert to fraction form
    132,078.86/198,114.74 = 37,315.58/x
  3. Step 3: Cross multiply
    132,078.86x = 198,114.74 × 37,315.58
  4. Step 4: Simplify right side
    132,078.86x = 7,392,766,243.07
  5. Step 5: Solve for x
    x = 7,392,766,243.07/132,078.86
  6. Step 6: Final answer
    x = 55,972.37

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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.