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Finding the Fourth Proportional to 209,954.88, 289,696.68 and 123,940.80

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Solution

The fourth proportional to 209,954.88, 289,696.68 and 123,940.80 is: 171,014.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,954.88 : 289,696.68 = 123,940.80 : x
  2. Step 2: Convert to fraction form
    209,954.88/289,696.68 = 123,940.80/x
  3. Step 3: Cross multiply
    209,954.88x = 289,696.68 × 123,940.80
  4. Step 4: Simplify right side
    209,954.88x = 35,905,238,276.54
  5. Step 5: Solve for x
    x = 35,905,238,276.54/209,954.88
  6. Step 6: Final answer
    x = 171,014.07

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1.5x scale

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.