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Finding the Fourth Proportional to 120,857.80, 181,286.70 and 118,265.80

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Solution

The fourth proportional to 120,857.80, 181,286.70 and 118,265.80 is: 177,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,857.80 : 181,286.70 = 118,265.80 : x
  2. Step 2: Convert to fraction form
    120,857.80/181,286.70 = 118,265.80/x
  3. Step 3: Cross multiply
    120,857.80x = 181,286.70 × 118,265.80
  4. Step 4: Simplify right side
    120,857.80x = 21,440,016,604.86
  5. Step 5: Solve for x
    x = 21,440,016,604.86/120,857.80
  6. Step 6: Final answer
    x = 177,398.70

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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.