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Finding the Fourth Proportional to 182,680.60, 274,059.24 and 77,497.24

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Solution

The fourth proportional to 182,680.60, 274,059.24 and 77,497.24 is: 116,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,680.60 : 274,059.24 = 77,497.24 : x
  2. Step 2: Convert to fraction form
    182,680.60/274,059.24 = 77,497.24/x
  3. Step 3: Cross multiply
    182,680.60x = 274,059.24 × 77,497.24
  4. Step 4: Simplify right side
    182,680.60x = 21,238,834,696.50
  5. Step 5: Solve for x
    x = 21,238,834,696.50/182,680.60
  6. Step 6: Final answer
    x = 116,262.12

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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.