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Finding the Fourth Proportional to 195,511, 269,805.36 and 106,087

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Solution

The fourth proportional to 195,511, 269,805.36 and 106,087 is: 146,400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,511 : 269,805.36 = 106,087 : x
  2. Step 2: Convert to fraction form
    195,511/269,805.36 = 106,087/x
  3. Step 3: Cross multiply
    195,511x = 269,805.36 × 106,087
  4. Step 4: Simplify right side
    195,511x = 28,622,841,226.32
  5. Step 5: Solve for x
    x = 28,622,841,226.32/195,511
  6. Step 6: Final answer
    x = 146,400.16

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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.