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Finding the Fourth Proportional to 177,832.60, 266,748.90 and 164,872.60

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Solution

The fourth proportional to 177,832.60, 266,748.90 and 164,872.60 is: 247,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,832.60 : 266,748.90 = 164,872.60 : x
  2. Step 2: Convert to fraction form
    177,832.60/266,748.90 = 164,872.60/x
  3. Step 3: Cross multiply
    177,832.60x = 266,748.90 × 164,872.60
  4. Step 4: Simplify right side
    177,832.60x = 43,979,584,690.14
  5. Step 5: Solve for x
    x = 43,979,584,690.14/177,832.60
  6. Step 6: Final answer
    x = 247,308.90

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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.