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Finding the Fourth Proportional to 181,103.40, 271,655.10 and 113,743.80

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Solution

The fourth proportional to 181,103.40, 271,655.10 and 113,743.80 is: 170,615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,103.40 : 271,655.10 = 113,743.80 : x
  2. Step 2: Convert to fraction form
    181,103.40/271,655.10 = 113,743.80/x
  3. Step 3: Cross multiply
    181,103.40x = 271,655.10 × 113,743.80
  4. Step 4: Simplify right side
    181,103.40x = 30,899,083,363.38
  5. Step 5: Solve for x
    x = 30,899,083,363.38/181,103.40
  6. Step 6: Final answer
    x = 170,615.70

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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.