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Finding the Fourth Proportional to 182,176, 273,264 and 57,517

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Solution

The fourth proportional to 182,176, 273,264 and 57,517 is: 86,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,176 : 273,264 = 57,517 : x
  2. Step 2: Convert to fraction form
    182,176/273,264 = 57,517/x
  3. Step 3: Cross multiply
    182,176x = 273,264 × 57,517
  4. Step 4: Simplify right side
    182,176x = 15,717,325,488
  5. Step 5: Solve for x
    x = 15,717,325,488/182,176
  6. Step 6: Final answer
    x = 86,275.50

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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.