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Finding the Fourth Proportional to 182,636.70, 273,976.92 and 77,442

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Solution

The fourth proportional to 182,636.70, 273,976.92 and 77,442 is: 116,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,636.70 : 273,976.92 = 77,442 : x
  2. Step 2: Convert to fraction form
    182,636.70/273,976.92 = 77,442/x
  3. Step 3: Cross multiply
    182,636.70x = 273,976.92 × 77,442
  4. Step 4: Simplify right side
    182,636.70x = 21,217,320,638.64
  5. Step 5: Solve for x
    x = 21,217,320,638.64/182,636.70
  6. Step 6: Final answer
    x = 116,172.27

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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.