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Finding the Fourth Proportional to 271,110.01, 406,761.81 and 164,711.02

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Solution

The fourth proportional to 271,110.01, 406,761.81 and 164,711.02 is: 247,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,110.01 : 406,761.81 = 164,711.02 : x
  2. Step 2: Convert to fraction form
    271,110.01/406,761.81 = 164,711.02/x
  3. Step 3: Cross multiply
    271,110.01x = 406,761.81 × 164,711.02
  4. Step 4: Simplify right side
    271,110.01x = 66,998,152,622.15
  5. Step 5: Solve for x
    x = 66,998,152,622.15/271,110.01
  6. Step 6: Final answer
    x = 247,125.34

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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.