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Finding the Fourth Proportional to 195,633, 269,973.54 and 106,209

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Solution

The fourth proportional to 195,633, 269,973.54 and 106,209 is: 146,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,633 : 269,973.54 = 106,209 : x
  2. Step 2: Convert to fraction form
    195,633/269,973.54 = 106,209/x
  3. Step 3: Cross multiply
    195,633x = 269,973.54 × 106,209
  4. Step 4: Simplify right side
    195,633x = 28,673,619,709.86
  5. Step 5: Solve for x
    x = 28,673,619,709.86/195,633
  6. Step 6: Final answer
    x = 146,568.42

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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.