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Finding the Fourth Proportional to 228,906.90, 343,117.35 and 110,501.10

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Solution

The fourth proportional to 228,906.90, 343,117.35 and 110,501.10 is: 165,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,906.90 : 343,117.35 = 110,501.10 : x
  2. Step 2: Convert to fraction form
    228,906.90/343,117.35 = 110,501.10/x
  3. Step 3: Cross multiply
    228,906.90x = 343,117.35 × 110,501.10
  4. Step 4: Simplify right side
    228,906.90x = 37,914,844,604.09
  5. Step 5: Solve for x
    x = 37,914,844,604.09/228,906.90
  6. Step 6: Final answer
    x = 165,634.35

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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.