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Finding the Fourth Proportional to 123,059.38, 169,822.01 and 66,470.75

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Solution

The fourth proportional to 123,059.38, 169,822.01 and 66,470.75 is: 91,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,059.38 : 169,822.01 = 66,470.75 : x
  2. Step 2: Convert to fraction form
    123,059.38/169,822.01 = 66,470.75/x
  3. Step 3: Cross multiply
    123,059.38x = 169,822.01 × 66,470.75
  4. Step 4: Simplify right side
    123,059.38x = 11,288,196,371.21
  5. Step 5: Solve for x
    x = 11,288,196,371.21/123,059.38
  6. Step 6: Final answer
    x = 91,729.67

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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.