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Finding the Fourth Proportional to 105,408.78, 145,464.07 and 57,662.12

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Solution

The fourth proportional to 105,408.78, 145,464.07 and 57,662.12 is: 79,573.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,408.78 : 145,464.07 = 57,662.12 : x
  2. Step 2: Convert to fraction form
    105,408.78/145,464.07 = 57,662.12/x
  3. Step 3: Cross multiply
    105,408.78x = 145,464.07 × 57,662.12
  4. Step 4: Simplify right side
    105,408.78x = 8,387,766,660.03
  5. Step 5: Solve for x
    x = 8,387,766,660.03/105,408.78
  6. Step 6: Final answer
    x = 79,573.70

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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.