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Finding the Fourth Proportional to 255,198.38, 352,173.96 and 147,774.16

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Solution

The fourth proportional to 255,198.38, 352,173.96 and 147,774.16 is: 203,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,198.38 : 352,173.96 = 147,774.16 : x
  2. Step 2: Convert to fraction form
    255,198.38/352,173.96 = 147,774.16/x
  3. Step 3: Cross multiply
    255,198.38x = 352,173.96 × 147,774.16
  4. Step 4: Simplify right side
    255,198.38x = 52,042,211,112.87
  5. Step 5: Solve for x
    x = 52,042,211,112.87/255,198.38
  6. Step 6: Final answer
    x = 203,928.45

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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.