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Finding the Fourth Proportional to 265,138.50, 365,891.19 and 145,906.50

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Solution

The fourth proportional to 265,138.50, 365,891.19 and 145,906.50 is: 201,351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,138.50 : 365,891.19 = 145,906.50 : x
  2. Step 2: Convert to fraction form
    265,138.50/365,891.19 = 145,906.50/x
  3. Step 3: Cross multiply
    265,138.50x = 365,891.19 × 145,906.50
  4. Step 4: Simplify right side
    265,138.50x = 53,385,902,913.74
  5. Step 5: Solve for x
    x = 53,385,902,913.74/265,138.50
  6. Step 6: Final answer
    x = 201,351.00

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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.