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Finding the Fourth Proportional to 132,102.86, 198,166.34 and 37,334.41

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Solution

The fourth proportional to 132,102.86, 198,166.34 and 37,334.41 is: 56,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,102.86 : 198,166.34 = 37,334.41 : x
  2. Step 2: Convert to fraction form
    132,102.86/198,166.34 = 37,334.41/x
  3. Step 3: Cross multiply
    132,102.86x = 198,166.34 × 37,334.41
  4. Step 4: Simplify right side
    132,102.86x = 7,398,422,208.26
  5. Step 5: Solve for x
    x = 7,398,422,208.26/132,102.86
  6. Step 6: Final answer
    x = 56,005.01

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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.