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Finding the Fourth Proportional to 156,478.38, 215,938.98 and 84,858.54

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Solution

The fourth proportional to 156,478.38, 215,938.98 and 84,858.54 is: 117,104.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,478.38 : 215,938.98 = 84,858.54 : x
  2. Step 2: Convert to fraction form
    156,478.38/215,938.98 = 84,858.54/x
  3. Step 3: Cross multiply
    156,478.38x = 215,938.98 × 84,858.54
  4. Step 4: Simplify right side
    156,478.38x = 18,324,266,571.89
  5. Step 5: Solve for x
    x = 18,324,266,571.89/156,478.38
  6. Step 6: Final answer
    x = 117,104.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.