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Finding the Fourth Proportional to 132,463.89, 198,575.64 and 48,164.49

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Solution

The fourth proportional to 132,463.89, 198,575.64 and 48,164.49 is: 72,203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,463.89 : 198,575.64 = 48,164.49 : x
  2. Step 2: Convert to fraction form
    132,463.89/198,575.64 = 48,164.49/x
  3. Step 3: Cross multiply
    132,463.89x = 198,575.64 × 48,164.49
  4. Step 4: Simplify right side
    132,463.89x = 9,564,294,427.02
  5. Step 5: Solve for x
    x = 9,564,294,427.02/132,463.89
  6. Step 6: Final answer
    x = 72,203.03

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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.