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Finding the Fourth Proportional to 185,694.83, 256,259.91 and 109,217.15

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Solution

The fourth proportional to 185,694.83, 256,259.91 and 109,217.15 is: 150,720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,694.83 : 256,259.91 = 109,217.15 : x
  2. Step 2: Convert to fraction form
    185,694.83/256,259.91 = 109,217.15/x
  3. Step 3: Cross multiply
    185,694.83x = 256,259.91 × 109,217.15
  4. Step 4: Simplify right side
    185,694.83x = 27,987,975,748.16
  5. Step 5: Solve for x
    x = 27,987,975,748.16/185,694.83
  6. Step 6: Final answer
    x = 150,720.28

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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.