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Finding the Fourth Proportional to 195,565, 269,879.74 and 106,141

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Solution

The fourth proportional to 195,565, 269,879.74 and 106,141 is: 146,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,565 : 269,879.74 = 106,141 : x
  2. Step 2: Convert to fraction form
    195,565/269,879.74 = 106,141/x
  3. Step 3: Cross multiply
    195,565x = 269,879.74 × 106,141
  4. Step 4: Simplify right side
    195,565x = 28,645,305,483.34
  5. Step 5: Solve for x
    x = 28,645,305,483.34/195,565
  6. Step 6: Final answer
    x = 146,474.60

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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.