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Finding the Fourth Proportional to 182,740, 274,150.32 and 77,648.80

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Solution

The fourth proportional to 182,740, 274,150.32 and 77,648.80 is: 116,490.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,740 : 274,150.32 = 77,648.80 : x
  2. Step 2: Convert to fraction form
    182,740/274,150.32 = 77,648.80/x
  3. Step 3: Cross multiply
    182,740x = 274,150.32 × 77,648.80
  4. Step 4: Simplify right side
    182,740x = 21,287,443,367.62
  5. Step 5: Solve for x
    x = 21,287,443,367.62/182,740
  6. Step 6: Final answer
    x = 116,490.33

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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.