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Finding the Fourth Proportional to 182,177, 273,265.50 and 57,518

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Solution

The fourth proportional to 182,177, 273,265.50 and 57,518 is: 86,277

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,177 : 273,265.50 = 57,518 : x
  2. Step 2: Convert to fraction form
    182,177/273,265.50 = 57,518/x
  3. Step 3: Cross multiply
    182,177x = 273,265.50 × 57,518
  4. Step 4: Simplify right side
    182,177x = 15,717,685,029
  5. Step 5: Solve for x
    x = 15,717,685,029/182,177
  6. Step 6: Final answer
    x = 86,277

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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.