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Finding the Fourth Proportional to 299,107.49, 448,529.81 and 111,987.77

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Solution

The fourth proportional to 299,107.49, 448,529.81 and 111,987.77 is: 167,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,107.49 : 448,529.81 = 111,987.77 : x
  2. Step 2: Convert to fraction form
    299,107.49/448,529.81 = 111,987.77/x
  3. Step 3: Cross multiply
    299,107.49x = 448,529.81 × 111,987.77
  4. Step 4: Simplify right side
    299,107.49x = 50,229,850,397.84
  5. Step 5: Solve for x
    x = 50,229,850,397.84/299,107.49
  6. Step 6: Final answer
    x = 167,932.44

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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.