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Finding the Fourth Proportional to 182,742, 274,153.32 and 77,650.80

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Solution

The fourth proportional to 182,742, 274,153.32 and 77,650.80 is: 116,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,742 : 274,153.32 = 77,650.80 : x
  2. Step 2: Convert to fraction form
    182,742/274,153.32 = 77,650.80/x
  3. Step 3: Cross multiply
    182,742x = 274,153.32 × 77,650.80
  4. Step 4: Simplify right side
    182,742x = 21,288,224,620.66
  5. Step 5: Solve for x
    x = 21,288,224,620.66/182,742
  6. Step 6: Final answer
    x = 116,493.33

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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.