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Finding the Fourth Proportional to 271,932.72, 407,957.40 and 114,070.20

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Solution

The fourth proportional to 271,932.72, 407,957.40 and 114,070.20 is: 171,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,932.72 : 407,957.40 = 114,070.20 : x
  2. Step 2: Convert to fraction form
    271,932.72/407,957.40 = 114,070.20/x
  3. Step 3: Cross multiply
    271,932.72x = 407,957.40 × 114,070.20
  4. Step 4: Simplify right side
    271,932.72x = 46,535,782,209.48
  5. Step 5: Solve for x
    x = 46,535,782,209.48/271,932.72
  6. Step 6: Final answer
    x = 171,129.76

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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.