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Finding the Fourth Proportional to 175,906.75, 263,860.13 and 77,410.75

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Solution

The fourth proportional to 175,906.75, 263,860.13 and 77,410.75 is: 116,116.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,906.75 : 263,860.13 = 77,410.75 : x
  2. Step 2: Convert to fraction form
    175,906.75/263,860.13 = 77,410.75/x
  3. Step 3: Cross multiply
    175,906.75x = 263,860.13 × 77,410.75
  4. Step 4: Simplify right side
    175,906.75x = 20,425,610,558.40
  5. Step 5: Solve for x
    x = 20,425,610,558.40/175,906.75
  6. Step 6: Final answer
    x = 116,116.13

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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.