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Finding the Fourth Proportional to 271,913.80, 407,708.70 and 166,808.20

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Solution

The fourth proportional to 271,913.80, 407,708.70 and 166,808.20 is: 250,112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,913.80 : 407,708.70 = 166,808.20 : x
  2. Step 2: Convert to fraction form
    271,913.80/407,708.70 = 166,808.20/x
  3. Step 3: Cross multiply
    271,913.80x = 407,708.70 × 166,808.20
  4. Step 4: Simplify right side
    271,913.80x = 68,009,154,371.34
  5. Step 5: Solve for x
    x = 68,009,154,371.34/271,913.80
  6. Step 6: Final answer
    x = 250,112.92

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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.