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Finding the Fourth Proportional to 120,431.64, 180,656.81 and 36,185.23

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Solution

The fourth proportional to 120,431.64, 180,656.81 and 36,185.23 is: 54,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,431.64 : 180,656.81 = 36,185.23 : x
  2. Step 2: Convert to fraction form
    120,431.64/180,656.81 = 36,185.23/x
  3. Step 3: Cross multiply
    120,431.64x = 180,656.81 × 36,185.23
  4. Step 4: Simplify right side
    120,431.64x = 6,537,108,220.92
  5. Step 5: Solve for x
    x = 6,537,108,220.92/120,431.64
  6. Step 6: Final answer
    x = 54,280.65

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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.