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Finding the Fourth Proportional to 265,446, 366,315.50 and 146,214

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Solution

The fourth proportional to 265,446, 366,315.50 and 146,214 is: 201,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,446 : 366,315.50 = 146,214 : x
  2. Step 2: Convert to fraction form
    265,446/366,315.50 = 146,214/x
  3. Step 3: Cross multiply
    265,446x = 366,315.50 × 146,214
  4. Step 4: Simplify right side
    265,446x = 53,560,454,517
  5. Step 5: Solve for x
    x = 53,560,454,517/265,446
  6. Step 6: Final answer
    x = 201,775.33

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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.