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Finding the Fourth Proportional to 120,903.84, 181,369.56 and 32,160.96

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Solution

The fourth proportional to 120,903.84, 181,369.56 and 32,160.96 is: 48,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,903.84 : 181,369.56 = 32,160.96 : x
  2. Step 2: Convert to fraction form
    120,903.84/181,369.56 = 32,160.96/x
  3. Step 3: Cross multiply
    120,903.84x = 181,369.56 × 32,160.96
  4. Step 4: Simplify right side
    120,903.84x = 5,833,019,164.38
  5. Step 5: Solve for x
    x = 5,833,019,164.38/120,903.84
  6. Step 6: Final answer
    x = 48,245.11

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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.