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Finding the Fourth Proportional to 182,729.82, 274,233.21 and 77,622.54

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Solution

The fourth proportional to 182,729.82, 274,233.21 and 77,622.54 is: 116,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,729.82 : 274,233.21 = 77,622.54 : x
  2. Step 2: Convert to fraction form
    182,729.82/274,233.21 = 77,622.54/x
  3. Step 3: Cross multiply
    182,729.82x = 274,233.21 × 77,622.54
  4. Step 4: Simplify right side
    182,729.82x = 21,286,678,312.55
  5. Step 5: Solve for x
    x = 21,286,678,312.55/182,729.82
  6. Step 6: Final answer
    x = 116,492.64

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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.