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Finding the Fourth Proportional to 254,022.76, 350,471.64 and 146,578.69

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Solution

The fourth proportional to 254,022.76, 350,471.64 and 146,578.69 is: 202,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,022.76 : 350,471.64 = 146,578.69 : x
  2. Step 2: Convert to fraction form
    254,022.76/350,471.64 = 146,578.69/x
  3. Step 3: Cross multiply
    254,022.76x = 350,471.64 × 146,578.69
  4. Step 4: Simplify right side
    254,022.76x = 51,371,673,873.35
  5. Step 5: Solve for x
    x = 51,371,673,873.35/254,022.76
  6. Step 6: Final answer
    x = 202,232.56

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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.