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Finding the Fourth Proportional to 228,581.80, 343,067.10 and 102,416.20

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Solution

The fourth proportional to 228,581.80, 343,067.10 and 102,416.20 is: 153,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,581.80 : 343,067.10 = 102,416.20 : x
  2. Step 2: Convert to fraction form
    228,581.80/343,067.10 = 102,416.20/x
  3. Step 3: Cross multiply
    228,581.80x = 343,067.10 × 102,416.20
  4. Step 4: Simplify right side
    228,581.80x = 35,135,628,727.02
  5. Step 5: Solve for x
    x = 35,135,628,727.02/228,581.80
  6. Step 6: Final answer
    x = 153,711.40

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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.