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Finding the Fourth Proportional to 174,381.84, 261,696.96 and 79,624.80

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Solution

The fourth proportional to 174,381.84, 261,696.96 and 79,624.80 is: 119,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,381.84 : 261,696.96 = 79,624.80 : x
  2. Step 2: Convert to fraction form
    174,381.84/261,696.96 = 79,624.80/x
  3. Step 3: Cross multiply
    174,381.84x = 261,696.96 × 79,624.80
  4. Step 4: Simplify right side
    174,381.84x = 20,837,568,100.61
  5. Step 5: Solve for x
    x = 20,837,568,100.61/174,381.84
  6. Step 6: Final answer
    x = 119,493.91

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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.