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Finding the Fourth Proportional to 123,285.38, 170,134.06 and 66,696.78

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Solution

The fourth proportional to 123,285.38, 170,134.06 and 66,696.78 is: 92,041.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,285.38 : 170,134.06 = 66,696.78 : x
  2. Step 2: Convert to fraction form
    123,285.38/170,134.06 = 66,696.78/x
  3. Step 3: Cross multiply
    123,285.38x = 170,134.06 × 66,696.78
  4. Step 4: Simplify right side
    123,285.38x = 11,347,393,970.33
  5. Step 5: Solve for x
    x = 11,347,393,970.33/123,285.38
  6. Step 6: Final answer
    x = 92,041.68

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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.