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Finding the Fourth Proportional to 180,756.30, 271,133.09 and 54,396

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Solution

The fourth proportional to 180,756.30, 271,133.09 and 54,396 is: 81,593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,756.30 : 271,133.09 = 54,396 : x
  2. Step 2: Convert to fraction form
    180,756.30/271,133.09 = 54,396/x
  3. Step 3: Cross multiply
    180,756.30x = 271,133.09 × 54,396
  4. Step 4: Simplify right side
    180,756.30x = 14,748,555,291.66
  5. Step 5: Solve for x
    x = 14,748,555,291.66/180,756.30
  6. Step 6: Final answer
    x = 81,593.59

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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.