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Finding the Fourth Proportional to 180,004.94, 270,045.60 and 61,644.50

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Solution

The fourth proportional to 180,004.94, 270,045.60 and 61,644.50 is: 92,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,004.94 : 270,045.60 = 61,644.50 : x
  2. Step 2: Convert to fraction form
    180,004.94/270,045.60 = 61,644.50/x
  3. Step 3: Cross multiply
    180,004.94x = 270,045.60 × 61,644.50
  4. Step 4: Simplify right side
    180,004.94x = 16,646,825,989.20
  5. Step 5: Solve for x
    x = 16,646,825,989.20/180,004.94
  6. Step 6: Final answer
    x = 92,479.83

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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.