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Finding the Fourth Proportional to 181,176.40, 271,764.60 and 113,816.80

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Solution

The fourth proportional to 181,176.40, 271,764.60 and 113,816.80 is: 170,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,176.40 : 271,764.60 = 113,816.80 : x
  2. Step 2: Convert to fraction form
    181,176.40/271,764.60 = 113,816.80/x
  3. Step 3: Cross multiply
    181,176.40x = 271,764.60 × 113,816.80
  4. Step 4: Simplify right side
    181,176.40x = 30,931,377,125.28
  5. Step 5: Solve for x
    x = 30,931,377,125.28/181,176.40
  6. Step 6: Final answer
    x = 170,725.20

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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.