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Finding the Fourth Proportional to 121,770.83, 167,934.83 and 76,452.99

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Solution

The fourth proportional to 121,770.83, 167,934.83 and 76,452.99 is: 105,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,770.83 : 167,934.83 = 76,452.99 : x
  2. Step 2: Convert to fraction form
    121,770.83/167,934.83 = 76,452.99/x
  3. Step 3: Cross multiply
    121,770.83x = 167,934.83 × 76,452.99
  4. Step 4: Simplify right side
    121,770.83x = 12,839,119,496.38
  5. Step 5: Solve for x
    x = 12,839,119,496.38/121,770.83
  6. Step 6: Final answer
    x = 105,436.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.