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Finding the Fourth Proportional to 272,216.92, 408,325.38 and 85,243

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Solution

The fourth proportional to 272,216.92, 408,325.38 and 85,243 is: 127,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,216.92 : 408,325.38 = 85,243 : x
  2. Step 2: Convert to fraction form
    272,216.92/408,325.38 = 85,243/x
  3. Step 3: Cross multiply
    272,216.92x = 408,325.38 × 85,243
  4. Step 4: Simplify right side
    272,216.92x = 34,806,880,367.34
  5. Step 5: Solve for x
    x = 34,806,880,367.34/272,216.92
  6. Step 6: Final answer
    x = 127,864.50

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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.