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Finding the Fourth Proportional to 181,393.68, 271,638 and 114,632.40

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Solution

The fourth proportional to 181,393.68, 271,638 and 114,632.40 is: 171,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,393.68 : 271,638 = 114,632.40 : x
  2. Step 2: Convert to fraction form
    181,393.68/271,638 = 114,632.40/x
  3. Step 3: Cross multiply
    181,393.68x = 271,638 × 114,632.40
  4. Step 4: Simplify right side
    181,393.68x = 31,138,515,871.20
  5. Step 5: Solve for x
    x = 31,138,515,871.20/181,393.68
  6. Step 6: Final answer
    x = 171,662.63

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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.