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Finding the Fourth Proportional to 175,284, 241,891.92 and 95,796

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Solution

The fourth proportional to 175,284, 241,891.92 and 95,796 is: 132,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,284 : 241,891.92 = 95,796 : x
  2. Step 2: Convert to fraction form
    175,284/241,891.92 = 95,796/x
  3. Step 3: Cross multiply
    175,284x = 241,891.92 × 95,796
  4. Step 4: Simplify right side
    175,284x = 23,172,278,368.32
  5. Step 5: Solve for x
    x = 23,172,278,368.32/175,284
  6. Step 6: Final answer
    x = 132,198.48

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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.