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Finding the Fourth Proportional to 182,735.80, 274,070.16 and 82,871.98

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Solution

The fourth proportional to 182,735.80, 274,070.16 and 82,871.98 is: 124,292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,735.80 : 274,070.16 = 82,871.98 : x
  2. Step 2: Convert to fraction form
    182,735.80/274,070.16 = 82,871.98/x
  3. Step 3: Cross multiply
    182,735.80x = 274,070.16 × 82,871.98
  4. Step 4: Simplify right side
    182,735.80x = 22,712,736,818.12
  5. Step 5: Solve for x
    x = 22,712,736,818.12/182,735.80
  6. Step 6: Final answer
    x = 124,292.76

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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.