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Finding the Fourth Proportional to 150,959.76, 226,478.52 and 57,414.48

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Solution

The fourth proportional to 150,959.76, 226,478.52 and 57,414.48 is: 86,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,959.76 : 226,478.52 = 57,414.48 : x
  2. Step 2: Convert to fraction form
    150,959.76/226,478.52 = 57,414.48/x
  3. Step 3: Cross multiply
    150,959.76x = 226,478.52 × 57,414.48
  4. Step 4: Simplify right side
    150,959.76x = 13,003,146,456.97
  5. Step 5: Solve for x
    x = 13,003,146,456.97/150,959.76
  6. Step 6: Final answer
    x = 86,136.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.