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Finding the Fourth Proportional to 265,100, 365,838 and 145,868

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Solution

The fourth proportional to 265,100, 365,838 and 145,868 is: 201,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,100 : 365,838 = 145,868 : x
  2. Step 2: Convert to fraction form
    265,100/365,838 = 145,868/x
  3. Step 3: Cross multiply
    265,100x = 365,838 × 145,868
  4. Step 4: Simplify right side
    265,100x = 53,364,057,384
  5. Step 5: Solve for x
    x = 53,364,057,384/265,100
  6. Step 6: Final answer
    x = 201,297.84

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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.