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Finding the Fourth Proportional to 299,727.48, 413,619.10 and 163,758.51

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Solution

The fourth proportional to 299,727.48, 413,619.10 and 163,758.51 is: 225,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,727.48 : 413,619.10 = 163,758.51 : x
  2. Step 2: Convert to fraction form
    299,727.48/413,619.10 = 163,758.51/x
  3. Step 3: Cross multiply
    299,727.48x = 413,619.10 × 163,758.51
  4. Step 4: Simplify right side
    299,727.48x = 67,733,647,114.14
  5. Step 5: Solve for x
    x = 67,733,647,114.14/299,727.48
  6. Step 6: Final answer
    x = 225,984.11

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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.