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Finding the Fourth Proportional to 127,861.46, 191,856.95 and 85,196.04

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Solution

The fourth proportional to 127,861.46, 191,856.95 and 85,196.04 is: 127,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,861.46 : 191,856.95 = 85,196.04 : x
  2. Step 2: Convert to fraction form
    127,861.46/191,856.95 = 85,196.04/x
  3. Step 3: Cross multiply
    127,861.46x = 191,856.95 × 85,196.04
  4. Step 4: Simplify right side
    127,861.46x = 16,345,451,960.50
  5. Step 5: Solve for x
    x = 16,345,451,960.50/127,861.46
  6. Step 6: Final answer
    x = 127,837.21

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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.