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Finding the Fourth Proportional to 265,736, 366,715.68 and 146,504

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Solution

The fourth proportional to 265,736, 366,715.68 and 146,504 is: 202,175.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,736 : 366,715.68 = 146,504 : x
  2. Step 2: Convert to fraction form
    265,736/366,715.68 = 146,504/x
  3. Step 3: Cross multiply
    265,736x = 366,715.68 × 146,504
  4. Step 4: Simplify right side
    265,736x = 53,725,313,982.72
  5. Step 5: Solve for x
    x = 53,725,313,982.72/265,736
  6. Step 6: Final answer
    x = 202,175.52

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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.