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Finding the Fourth Proportional to 265,149, 365,905.68 and 145,917

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Solution

The fourth proportional to 265,149, 365,905.68 and 145,917 is: 201,365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,149 : 365,905.68 = 145,917 : x
  2. Step 2: Convert to fraction form
    265,149/365,905.68 = 145,917/x
  3. Step 3: Cross multiply
    265,149x = 365,905.68 × 145,917
  4. Step 4: Simplify right side
    265,149x = 53,391,859,108.56
  5. Step 5: Solve for x
    x = 53,391,859,108.56/265,149
  6. Step 6: Final answer
    x = 201,365.49

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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.