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Finding the Fourth Proportional to 265,415, 366,272.70 and 146,183

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Solution

The fourth proportional to 265,415, 366,272.70 and 146,183 is: 201,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,415 : 366,272.70 = 146,183 : x
  2. Step 2: Convert to fraction form
    265,415/366,272.70 = 146,183/x
  3. Step 3: Cross multiply
    265,415x = 366,272.70 × 146,183
  4. Step 4: Simplify right side
    265,415x = 53,542,842,104.10
  5. Step 5: Solve for x
    x = 53,542,842,104.10/265,415
  6. Step 6: Final answer
    x = 201,732.54

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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.