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Finding the Fourth Proportional to 254,055, 350,570.70 and 146,659.68

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Solution

The fourth proportional to 254,055, 350,570.70 and 146,659.68 is: 202,375.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,055 : 350,570.70 = 146,659.68 : x
  2. Step 2: Convert to fraction form
    254,055/350,570.70 = 146,659.68/x
  3. Step 3: Cross multiply
    254,055x = 350,570.70 × 146,659.68
  4. Step 4: Simplify right side
    254,055x = 51,414,586,679.38
  5. Step 5: Solve for x
    x = 51,414,586,679.38/254,055
  6. Step 6: Final answer
    x = 202,375.81

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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.