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Finding the Fourth Proportional to 177,753.20, 266,629.80 and 164,236.40

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Solution

The fourth proportional to 177,753.20, 266,629.80 and 164,236.40 is: 246,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,753.20 : 266,629.80 = 164,236.40 : x
  2. Step 2: Convert to fraction form
    177,753.20/266,629.80 = 164,236.40/x
  3. Step 3: Cross multiply
    177,753.20x = 266,629.80 × 164,236.40
  4. Step 4: Simplify right side
    177,753.20x = 43,790,318,484.72
  5. Step 5: Solve for x
    x = 43,790,318,484.72/177,753.20
  6. Step 6: Final answer
    x = 246,354.60

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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.