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Finding the Fourth Proportional to 126,245.84, 174,282.39 and 78,514.57

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Solution

The fourth proportional to 126,245.84, 174,282.39 and 78,514.57 is: 108,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,245.84 : 174,282.39 = 78,514.57 : x
  2. Step 2: Convert to fraction form
    126,245.84/174,282.39 = 78,514.57/x
  3. Step 3: Cross multiply
    126,245.84x = 174,282.39 × 78,514.57
  4. Step 4: Simplify right side
    126,245.84x = 13,683,705,645.44
  5. Step 5: Solve for x
    x = 13,683,705,645.44/126,245.84
  6. Step 6: Final answer
    x = 108,389.36

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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.