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Finding the Fourth Proportional to 183,103.92, 274,566 and 76,455.89

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Solution

The fourth proportional to 183,103.92, 274,566 and 76,455.89 is: 114,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,103.92 : 274,566 = 76,455.89 : x
  2. Step 2: Convert to fraction form
    183,103.92/274,566 = 76,455.89/x
  3. Step 3: Cross multiply
    183,103.92x = 274,566 × 76,455.89
  4. Step 4: Simplify right side
    183,103.92x = 20,992,187,893.74
  5. Step 5: Solve for x
    x = 20,992,187,893.74/183,103.92
  6. Step 6: Final answer
    x = 114,646.31

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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.