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Finding the Fourth Proportional to 132,185.96, 198,236.95 and 43,418.80

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Solution

The fourth proportional to 132,185.96, 198,236.95 and 43,418.80 is: 65,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,185.96 : 198,236.95 = 43,418.80 : x
  2. Step 2: Convert to fraction form
    132,185.96/198,236.95 = 43,418.80/x
  3. Step 3: Cross multiply
    132,185.96x = 198,236.95 × 43,418.80
  4. Step 4: Simplify right side
    132,185.96x = 8,607,210,484.66
  5. Step 5: Solve for x
    x = 8,607,210,484.66/132,185.96
  6. Step 6: Final answer
    x = 65,114.41

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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.