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Finding the Fourth Proportional to 255,471.38, 352,533.48 and 148,022.24

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Solution

The fourth proportional to 255,471.38, 352,533.48 and 148,022.24 is: 204,260.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,471.38 : 352,533.48 = 148,022.24 : x
  2. Step 2: Convert to fraction form
    255,471.38/352,533.48 = 148,022.24/x
  3. Step 3: Cross multiply
    255,471.38x = 352,533.48 × 148,022.24
  4. Step 4: Simplify right side
    255,471.38x = 52,182,795,384.60
  5. Step 5: Solve for x
    x = 52,182,795,384.60/255,471.38
  6. Step 6: Final answer
    x = 204,260.83

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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.