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Finding the Fourth Proportional to 123,204.64, 170,022.36 and 69,489.54

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Solution

The fourth proportional to 123,204.64, 170,022.36 and 69,489.54 is: 95,895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,204.64 : 170,022.36 = 69,489.54 : x
  2. Step 2: Convert to fraction form
    123,204.64/170,022.36 = 69,489.54/x
  3. Step 3: Cross multiply
    123,204.64x = 170,022.36 × 69,489.54
  4. Step 4: Simplify right side
    123,204.64x = 11,814,775,586.11
  5. Step 5: Solve for x
    x = 11,814,775,586.11/123,204.64
  6. Step 6: Final answer
    x = 95,895.54

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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.