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Finding the Fourth Proportional to 272,754.06, 409,186.98 and 114,982.80

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Solution

The fourth proportional to 272,754.06, 409,186.98 and 114,982.80 is: 172,497.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,754.06 : 409,186.98 = 114,982.80 : x
  2. Step 2: Convert to fraction form
    272,754.06/409,186.98 = 114,982.80/x
  3. Step 3: Cross multiply
    272,754.06x = 409,186.98 × 114,982.80
  4. Step 4: Simplify right side
    272,754.06x = 47,049,464,683.94
  5. Step 5: Solve for x
    x = 47,049,464,683.94/272,754.06
  6. Step 6: Final answer
    x = 172,497.76

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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.