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Finding the Fourth Proportional to 120,325.30, 180,513.06 and 36,082.06

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Solution

The fourth proportional to 120,325.30, 180,513.06 and 36,082.06 is: 54,130.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,325.30 : 180,513.06 = 36,082.06 : x
  2. Step 2: Convert to fraction form
    120,325.30/180,513.06 = 36,082.06/x
  3. Step 3: Cross multiply
    120,325.30x = 180,513.06 × 36,082.06
  4. Step 4: Simplify right side
    120,325.30x = 6,513,283,061.70
  5. Step 5: Solve for x
    x = 6,513,283,061.70/120,325.30
  6. Step 6: Final answer
    x = 54,130.62

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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.