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Finding the Fourth Proportional to 272,727.36, 409,146.48 and 114,955.56

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Solution

The fourth proportional to 272,727.36, 409,146.48 and 114,955.56 is: 172,456.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,727.36 : 409,146.48 = 114,955.56 : x
  2. Step 2: Convert to fraction form
    272,727.36/409,146.48 = 114,955.56/x
  3. Step 3: Cross multiply
    272,727.36x = 409,146.48 × 114,955.56
  4. Step 4: Simplify right side
    272,727.36x = 47,033,662,730.43
  5. Step 5: Solve for x
    x = 47,033,662,730.43/272,727.36
  6. Step 6: Final answer
    x = 172,456.71

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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.