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Finding the Fourth Proportional to 177,843.40, 266,765.10 and 171,622.60

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Solution

The fourth proportional to 177,843.40, 266,765.10 and 171,622.60 is: 257,433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,843.40 : 266,765.10 = 171,622.60 : x
  2. Step 2: Convert to fraction form
    177,843.40/266,765.10 = 171,622.60/x
  3. Step 3: Cross multiply
    177,843.40x = 266,765.10 × 171,622.60
  4. Step 4: Simplify right side
    177,843.40x = 45,782,920,051.26
  5. Step 5: Solve for x
    x = 45,782,920,051.26/177,843.40
  6. Step 6: Final answer
    x = 257,433.90

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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.