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Finding the Fourth Proportional to 194,802.66, 291,982.73 and 82,412.73

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Solution

The fourth proportional to 194,802.66, 291,982.73 and 82,412.73 is: 123,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,802.66 : 291,982.73 = 82,412.73 : x
  2. Step 2: Convert to fraction form
    194,802.66/291,982.73 = 82,412.73/x
  3. Step 3: Cross multiply
    194,802.66x = 291,982.73 × 82,412.73
  4. Step 4: Simplify right side
    194,802.66x = 24,063,093,480.09
  5. Step 5: Solve for x
    x = 24,063,093,480.09/194,802.66
  6. Step 6: Final answer
    x = 123,525.49

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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.