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Finding the Fourth Proportional to 127,861.64, 191,857.23 and 85,196.23

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Solution

The fourth proportional to 127,861.64, 191,857.23 and 85,196.23 is: 127,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,861.64 : 191,857.23 = 85,196.23 : x
  2. Step 2: Convert to fraction form
    127,861.64/191,857.23 = 85,196.23/x
  3. Step 3: Cross multiply
    127,861.64x = 191,857.23 × 85,196.23
  4. Step 4: Simplify right side
    127,861.64x = 16,345,512,214.60
  5. Step 5: Solve for x
    x = 16,345,512,214.60/127,861.64
  6. Step 6: Final answer
    x = 127,837.50

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1.5x scale

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.