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Finding the Fourth Proportional to 255,201.20, 352,082.78 and 254,807.54

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Solution

The fourth proportional to 255,201.20, 352,082.78 and 254,807.54 is: 351,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,201.20 : 352,082.78 = 254,807.54 : x
  2. Step 2: Convert to fraction form
    255,201.20/352,082.78 = 254,807.54/x
  3. Step 3: Cross multiply
    255,201.20x = 352,082.78 × 254,807.54
  4. Step 4: Simplify right side
    255,201.20x = 89,713,347,048.16
  5. Step 5: Solve for x
    x = 89,713,347,048.16/255,201.20
  6. Step 6: Final answer
    x = 351,539.68

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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.