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Finding the Fourth Proportional to 255,198.24, 352,133.84 and 142,020.64

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Solution

The fourth proportional to 255,198.24, 352,133.84 and 142,020.64 is: 195,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,198.24 : 352,133.84 = 142,020.64 : x
  2. Step 2: Convert to fraction form
    255,198.24/352,133.84 = 142,020.64/x
  3. Step 3: Cross multiply
    255,198.24x = 352,133.84 × 142,020.64
  4. Step 4: Simplify right side
    255,198.24x = 50,010,273,322.46
  5. Step 5: Solve for x
    x = 50,010,273,322.46/255,198.24
  6. Step 6: Final answer
    x = 195,966.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.