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Finding the Fourth Proportional to 180,828.80, 271,178.40 and 92,052.80

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Solution

The fourth proportional to 180,828.80, 271,178.40 and 92,052.80 is: 138,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,828.80 : 271,178.40 = 92,052.80 : x
  2. Step 2: Convert to fraction form
    180,828.80/271,178.40 = 92,052.80/x
  3. Step 3: Cross multiply
    180,828.80x = 271,178.40 × 92,052.80
  4. Step 4: Simplify right side
    180,828.80x = 24,962,731,019.52
  5. Step 5: Solve for x
    x = 24,962,731,019.52/180,828.80
  6. Step 6: Final answer
    x = 138,046.21

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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.