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Finding the Fourth Proportional to 116,493.80, 174,478.10 and 81,589.24

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Solution

The fourth proportional to 116,493.80, 174,478.10 and 81,589.24 is: 122,199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,493.80 : 174,478.10 = 81,589.24 : x
  2. Step 2: Convert to fraction form
    116,493.80/174,478.10 = 81,589.24/x
  3. Step 3: Cross multiply
    116,493.80x = 174,478.10 × 81,589.24
  4. Step 4: Simplify right side
    116,493.80x = 14,235,535,575.64
  5. Step 5: Solve for x
    x = 14,235,535,575.64/116,493.80
  6. Step 6: Final answer
    x = 122,199.94

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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.