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Finding the Fourth Proportional to 177,346.60, 266,019.90 and 166,978.60

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Solution

The fourth proportional to 177,346.60, 266,019.90 and 166,978.60 is: 250,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,346.60 : 266,019.90 = 166,978.60 : x
  2. Step 2: Convert to fraction form
    177,346.60/266,019.90 = 166,978.60/x
  3. Step 3: Cross multiply
    177,346.60x = 266,019.90 × 166,978.60
  4. Step 4: Simplify right side
    177,346.60x = 44,419,630,474.14
  5. Step 5: Solve for x
    x = 44,419,630,474.14/177,346.60
  6. Step 6: Final answer
    x = 250,467.90

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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.