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Finding the Fourth Proportional to 177,842.60, 266,107.80 and 162,096.20

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Solution

The fourth proportional to 177,842.60, 266,107.80 and 162,096.20 is: 242,546.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,842.60 : 266,107.80 = 162,096.20 : x
  2. Step 2: Convert to fraction form
    177,842.60/266,107.80 = 162,096.20/x
  3. Step 3: Cross multiply
    177,842.60x = 266,107.80 × 162,096.20
  4. Step 4: Simplify right side
    177,842.60x = 43,135,063,170.36
  5. Step 5: Solve for x
    x = 43,135,063,170.36/177,842.60
  6. Step 6: Final answer
    x = 242,546.29

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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.