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Finding the Fourth Proportional to 299,072.84, 448,221.75 and 121,482.98

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Solution

The fourth proportional to 299,072.84, 448,221.75 and 121,482.98 is: 182,067.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,072.84 : 448,221.75 = 121,482.98 : x
  2. Step 2: Convert to fraction form
    299,072.84/448,221.75 = 121,482.98/x
  3. Step 3: Cross multiply
    299,072.84x = 448,221.75 × 121,482.98
  4. Step 4: Simplify right side
    299,072.84x = 54,451,311,649.71
  5. Step 5: Solve for x
    x = 54,451,311,649.71/299,072.84
  6. Step 6: Final answer
    x = 182,067.06

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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.