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Finding the Fourth Proportional to 182,741, 274,151.82 and 77,649.80

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Solution

The fourth proportional to 182,741, 274,151.82 and 77,649.80 is: 116,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,741 : 274,151.82 = 77,649.80 : x
  2. Step 2: Convert to fraction form
    182,741/274,151.82 = 77,649.80/x
  3. Step 3: Cross multiply
    182,741x = 274,151.82 × 77,649.80
  4. Step 4: Simplify right side
    182,741x = 21,287,833,992.64
  5. Step 5: Solve for x
    x = 21,287,833,992.64/182,741
  6. Step 6: Final answer
    x = 116,491.83

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1.5x scale

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.