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Finding the Fourth Proportional to 120,266.96, 180,398.50 and 41,381.87

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Solution

The fourth proportional to 120,266.96, 180,398.50 and 41,381.87 is: 62,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,266.96 : 180,398.50 = 41,381.87 : x
  2. Step 2: Convert to fraction form
    120,266.96/180,398.50 = 41,381.87/x
  3. Step 3: Cross multiply
    120,266.96x = 180,398.50 × 41,381.87
  4. Step 4: Simplify right side
    120,266.96x = 7,465,226,269.75
  5. Step 5: Solve for x
    x = 7,465,226,269.75/120,266.96
  6. Step 6: Final answer
    x = 62,072.13

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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.