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Finding the Fourth Proportional to 255,757.64, 352,977.37 and 146,896.07

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Solution

The fourth proportional to 255,757.64, 352,977.37 and 146,896.07 is: 202,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,757.64 : 352,977.37 = 146,896.07 : x
  2. Step 2: Convert to fraction form
    255,757.64/352,977.37 = 146,896.07/x
  3. Step 3: Cross multiply
    255,757.64x = 352,977.37 × 146,896.07
  4. Step 4: Simplify right side
    255,757.64x = 51,850,988,967.14
  5. Step 5: Solve for x
    x = 51,850,988,967.14/255,757.64
  6. Step 6: Final answer
    x = 202,734.86

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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.