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Finding the Fourth Proportional to 170,813.60, 256,293.30 and 82,021.40

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Solution

The fourth proportional to 170,813.60, 256,293.30 and 82,021.40 is: 123,067.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,813.60 : 256,293.30 = 82,021.40 : x
  2. Step 2: Convert to fraction form
    170,813.60/256,293.30 = 82,021.40/x
  3. Step 3: Cross multiply
    170,813.60x = 256,293.30 × 82,021.40
  4. Step 4: Simplify right side
    170,813.60x = 21,021,535,276.62
  5. Step 5: Solve for x
    x = 21,021,535,276.62/170,813.60
  6. Step 6: Final answer
    x = 123,067.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.