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Finding the Fourth Proportional to 120,893.94, 181,340.67 and 32,147.43

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Solution

The fourth proportional to 120,893.94, 181,340.67 and 32,147.43 is: 48,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,893.94 : 181,340.67 = 32,147.43 : x
  2. Step 2: Convert to fraction form
    120,893.94/181,340.67 = 32,147.43/x
  3. Step 3: Cross multiply
    120,893.94x = 181,340.67 × 32,147.43
  4. Step 4: Simplify right side
    120,893.94x = 5,829,636,494.98
  5. Step 5: Solve for x
    x = 5,829,636,494.98/120,893.94
  6. Step 6: Final answer
    x = 48,221.08

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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.