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Finding the Fourth Proportional to 254,022.51, 350,471.28 and 146,578.44

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Solution

The fourth proportional to 254,022.51, 350,471.28 and 146,578.44 is: 202,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,022.51 : 350,471.28 = 146,578.44 : x
  2. Step 2: Convert to fraction form
    254,022.51/350,471.28 = 146,578.44/x
  3. Step 3: Cross multiply
    254,022.51x = 350,471.28 × 146,578.44
  4. Step 4: Simplify right side
    254,022.51x = 51,371,533,487.20
  5. Step 5: Solve for x
    x = 51,371,533,487.20/254,022.51
  6. Step 6: Final answer
    x = 202,232.21

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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.