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Finding the Fourth Proportional to 155,782.43, 214,979.82 and 84,162.32

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Solution

The fourth proportional to 155,782.43, 214,979.82 and 84,162.32 is: 116,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,782.43 : 214,979.82 = 84,162.32 : x
  2. Step 2: Convert to fraction form
    155,782.43/214,979.82 = 84,162.32/x
  3. Step 3: Cross multiply
    155,782.43x = 214,979.82 × 84,162.32
  4. Step 4: Simplify right side
    155,782.43x = 18,093,200,404.38
  5. Step 5: Solve for x
    x = 18,093,200,404.38/155,782.43
  6. Step 6: Final answer
    x = 116,144.04

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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.