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Finding the Fourth Proportional to 76,906.10, 107,406.10 and 76,906.10

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Solution

The fourth proportional to 76,906.10, 107,406.10 and 76,906.10 is: 107,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,906.10 : 107,406.10 = 76,906.10 : x
  2. Step 2: Convert to fraction form
    76,906.10/107,406.10 = 76,906.10/x
  3. Step 3: Cross multiply
    76,906.10x = 107,406.10 × 76,906.10
  4. Step 4: Simplify right side
    76,906.10x = 8,260,184,267.21
  5. Step 5: Solve for x
    x = 8,260,184,267.21/76,906.10
  6. Step 6: Final answer
    x = 107,406.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.