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Finding the Fourth Proportional to 195,008.64, 269,112.96 and 105,584.64

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Solution

The fourth proportional to 195,008.64, 269,112.96 and 105,584.64 is: 145,707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,008.64 : 269,112.96 = 105,584.64 : x
  2. Step 2: Convert to fraction form
    195,008.64/269,112.96 = 105,584.64/x
  3. Step 3: Cross multiply
    195,008.64x = 269,112.96 × 105,584.64
  4. Step 4: Simplify right side
    195,008.64x = 28,414,195,000.93
  5. Step 5: Solve for x
    x = 28,414,195,000.93/195,008.64
  6. Step 6: Final answer
    x = 145,707.36

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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.