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Finding the Fourth Proportional to 181,275.40, 271,913.10 and 179,963.20

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Solution

The fourth proportional to 181,275.40, 271,913.10 and 179,963.20 is: 269,944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,275.40 : 271,913.10 = 179,963.20 : x
  2. Step 2: Convert to fraction form
    181,275.40/271,913.10 = 179,963.20/x
  3. Step 3: Cross multiply
    181,275.40x = 271,913.10 × 179,963.20
  4. Step 4: Simplify right side
    181,275.40x = 48,934,351,597.92
  5. Step 5: Solve for x
    x = 48,934,351,597.92/181,275.40
  6. Step 6: Final answer
    x = 269,944.80

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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.