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Finding the Fourth Proportional to 120,373.38, 180,463.68 and 57,161.52

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Solution

The fourth proportional to 120,373.38, 180,463.68 and 57,161.52 is: 85,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,373.38 : 180,463.68 = 57,161.52 : x
  2. Step 2: Convert to fraction form
    120,373.38/180,463.68 = 57,161.52/x
  3. Step 3: Cross multiply
    120,373.38x = 180,463.68 × 57,161.52
  4. Step 4: Simplify right side
    120,373.38x = 10,315,578,253.59
  5. Step 5: Solve for x
    x = 10,315,578,253.59/120,373.38
  6. Step 6: Final answer
    x = 85,696.51

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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.