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Finding the Fourth Proportional to 299,738.80, 449,567.16 and 100,054.63

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Solution

The fourth proportional to 299,738.80, 449,567.16 and 100,054.63 is: 150,068.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,738.80 : 449,567.16 = 100,054.63 : x
  2. Step 2: Convert to fraction form
    299,738.80/449,567.16 = 100,054.63/x
  3. Step 3: Cross multiply
    299,738.80x = 449,567.16 × 100,054.63
  4. Step 4: Simplify right side
    299,738.80x = 44,981,275,853.95
  5. Step 5: Solve for x
    x = 44,981,275,853.95/299,738.80
  6. Step 6: Final answer
    x = 150,068.25

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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.