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Finding the Fourth Proportional to 105,786.60, 145,984.62 and 57,388.38

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Solution

The fourth proportional to 105,786.60, 145,984.62 and 57,388.38 is: 79,195.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,786.60 : 145,984.62 = 57,388.38 : x
  2. Step 2: Convert to fraction form
    105,786.60/145,984.62 = 57,388.38/x
  3. Step 3: Cross multiply
    105,786.60x = 145,984.62 × 57,388.38
  4. Step 4: Simplify right side
    105,786.60x = 8,377,820,846.72
  5. Step 5: Solve for x
    x = 8,377,820,846.72/105,786.60
  6. Step 6: Final answer
    x = 79,195.48

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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.