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Finding the Fourth Proportional to 180,704.60, 271,070.22 and 47,583.94

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Solution

The fourth proportional to 180,704.60, 271,070.22 and 47,583.94 is: 71,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,704.60 : 271,070.22 = 47,583.94 : x
  2. Step 2: Convert to fraction form
    180,704.60/271,070.22 = 47,583.94/x
  3. Step 3: Cross multiply
    180,704.60x = 271,070.22 × 47,583.94
  4. Step 4: Simplify right side
    180,704.60x = 12,898,588,406.59
  5. Step 5: Solve for x
    x = 12,898,588,406.59/180,704.60
  6. Step 6: Final answer
    x = 71,379.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.