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Finding the Fourth Proportional to 155,713.16, 214,884.17 and 84,093.19

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Solution

The fourth proportional to 155,713.16, 214,884.17 and 84,093.19 is: 116,048.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,713.16 : 214,884.17 = 84,093.19 : x
  2. Step 2: Convert to fraction form
    155,713.16/214,884.17 = 84,093.19/x
  3. Step 3: Cross multiply
    155,713.16x = 214,884.17 × 84,093.19
  4. Step 4: Simplify right side
    155,713.16x = 18,070,295,335.80
  5. Step 5: Solve for x
    x = 18,070,295,335.80/155,713.16
  6. Step 6: Final answer
    x = 116,048.61

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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.