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Finding the Fourth Proportional to 265,418, 366,276.84 and 146,186

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Solution

The fourth proportional to 265,418, 366,276.84 and 146,186 is: 201,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,418 : 366,276.84 = 146,186 : x
  2. Step 2: Convert to fraction form
    265,418/366,276.84 = 146,186/x
  3. Step 3: Cross multiply
    265,418x = 366,276.84 × 146,186
  4. Step 4: Simplify right side
    265,418x = 53,544,546,132.24
  5. Step 5: Solve for x
    x = 53,544,546,132.24/265,418
  6. Step 6: Final answer
    x = 201,736.68

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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.