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Finding the Fourth Proportional to 204,418.80, 306,642.60 and 115,714.80

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Solution

The fourth proportional to 204,418.80, 306,642.60 and 115,714.80 is: 173,580.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,418.80 : 306,642.60 = 115,714.80 : x
  2. Step 2: Convert to fraction form
    204,418.80/306,642.60 = 115,714.80/x
  3. Step 3: Cross multiply
    204,418.80x = 306,642.60 × 115,714.80
  4. Step 4: Simplify right side
    204,418.80x = 35,483,087,130.48
  5. Step 5: Solve for x
    x = 35,483,087,130.48/204,418.80
  6. Step 6: Final answer
    x = 173,580.35

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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.