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Finding the Fourth Proportional to 271,253.82, 407,011.90 and 166,015.38

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Solution

The fourth proportional to 271,253.82, 407,011.90 and 166,015.38 is: 249,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,253.82 : 407,011.90 = 166,015.38 : x
  2. Step 2: Convert to fraction form
    271,253.82/407,011.90 = 166,015.38/x
  3. Step 3: Cross multiply
    271,253.82x = 407,011.90 × 166,015.38
  4. Step 4: Simplify right side
    271,253.82x = 67,570,235,243.02
  5. Step 5: Solve for x
    x = 67,570,235,243.02/271,253.82
  6. Step 6: Final answer
    x = 249,103.35

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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.