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Finding the Fourth Proportional to 214,480.29, 295,894.09 and 123,771.90

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Solution

The fourth proportional to 214,480.29, 295,894.09 and 123,771.90 is: 170,754.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,480.29 : 295,894.09 = 123,771.90 : x
  2. Step 2: Convert to fraction form
    214,480.29/295,894.09 = 123,771.90/x
  3. Step 3: Cross multiply
    214,480.29x = 295,894.09 × 123,771.90
  4. Step 4: Simplify right side
    214,480.29x = 36,623,373,753.12
  5. Step 5: Solve for x
    x = 36,623,373,753.12/214,480.29
  6. Step 6: Final answer
    x = 170,754.03

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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.