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Finding the Fourth Proportional to 271,832.60, 406,971.30 and 166,856.60

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Solution

The fourth proportional to 271,832.60, 406,971.30 and 166,856.60 is: 249,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,832.60 : 406,971.30 = 166,856.60 : x
  2. Step 2: Convert to fraction form
    271,832.60/406,971.30 = 166,856.60/x
  3. Step 3: Cross multiply
    271,832.60x = 406,971.30 × 166,856.60
  4. Step 4: Simplify right side
    271,832.60x = 67,905,847,415.58
  5. Step 5: Solve for x
    x = 67,905,847,415.58/271,832.60
  6. Step 6: Final answer
    x = 249,807.59

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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.