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Finding the Fourth Proportional to 180,292.50, 270,381.24 and 61,935.30

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Solution

The fourth proportional to 180,292.50, 270,381.24 and 61,935.30 is: 92,883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,292.50 : 270,381.24 = 61,935.30 : x
  2. Step 2: Convert to fraction form
    180,292.50/270,381.24 = 61,935.30/x
  3. Step 3: Cross multiply
    180,292.50x = 270,381.24 × 61,935.30
  4. Step 4: Simplify right side
    180,292.50x = 16,746,143,213.77
  5. Step 5: Solve for x
    x = 16,746,143,213.77/180,292.50
  6. Step 6: Final answer
    x = 92,883.19

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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.