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Finding the Fourth Proportional to 182,663, 274,076.58 and 116,085.86

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Solution

The fourth proportional to 182,663, 274,076.58 and 116,085.86 is: 174,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,663 : 274,076.58 = 116,085.86 : x
  2. Step 2: Convert to fraction form
    182,663/274,076.58 = 116,085.86/x
  3. Step 3: Cross multiply
    182,663x = 274,076.58 × 116,085.86
  4. Step 4: Simplify right side
    182,663x = 31,816,415,495.16
  5. Step 5: Solve for x
    x = 31,816,415,495.16/182,663
  6. Step 6: Final answer
    x = 174,180.95

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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.