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Finding the Fourth Proportional to 220,090.24, 303,724.30 and 123,294.78

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Solution

The fourth proportional to 220,090.24, 303,724.30 and 123,294.78 is: 170,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,090.24 : 303,724.30 = 123,294.78 : x
  2. Step 2: Convert to fraction form
    220,090.24/303,724.30 = 123,294.78/x
  3. Step 3: Cross multiply
    220,090.24x = 303,724.30 × 123,294.78
  4. Step 4: Simplify right side
    220,090.24x = 37,447,618,614.06
  5. Step 5: Solve for x
    x = 37,447,618,614.06/220,090.24
  6. Step 6: Final answer
    x = 170,146.66

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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.