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Finding the Fourth Proportional to 272,859.10, 409,288.65 and 85,846.30

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Solution

The fourth proportional to 272,859.10, 409,288.65 and 85,846.30 is: 128,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,859.10 : 409,288.65 = 85,846.30 : x
  2. Step 2: Convert to fraction form
    272,859.10/409,288.65 = 85,846.30/x
  3. Step 3: Cross multiply
    272,859.10x = 409,288.65 × 85,846.30
  4. Step 4: Simplify right side
    272,859.10x = 35,135,916,234.50
  5. Step 5: Solve for x
    x = 35,135,916,234.50/272,859.10
  6. Step 6: Final answer
    x = 128,769.45

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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.