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Finding the Fourth Proportional to 182,731.20, 274,096.80 and 175,732.80

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Solution

The fourth proportional to 182,731.20, 274,096.80 and 175,732.80 is: 263,599.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,731.20 : 274,096.80 = 175,732.80 : x
  2. Step 2: Convert to fraction form
    182,731.20/274,096.80 = 175,732.80/x
  3. Step 3: Cross multiply
    182,731.20x = 274,096.80 × 175,732.80
  4. Step 4: Simplify right side
    182,731.20x = 48,167,798,135.04
  5. Step 5: Solve for x
    x = 48,167,798,135.04/182,731.20
  6. Step 6: Final answer
    x = 263,599.20

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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.