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Finding the Fourth Proportional to 164,383.42, 246,357.15 and 84,418.16

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Solution

The fourth proportional to 164,383.42, 246,357.15 and 84,418.16 is: 126,515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,383.42 : 246,357.15 = 84,418.16 : x
  2. Step 2: Convert to fraction form
    164,383.42/246,357.15 = 84,418.16/x
  3. Step 3: Cross multiply
    164,383.42x = 246,357.15 × 84,418.16
  4. Step 4: Simplify right side
    164,383.42x = 20,797,017,162.65
  5. Step 5: Solve for x
    x = 20,797,017,162.65/164,383.42
  6. Step 6: Final answer
    x = 126,515.30

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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.