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Finding the Fourth Proportional to 195,193.76, 269,367.12 and 105,769.76

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Solution

The fourth proportional to 195,193.76, 269,367.12 and 105,769.76 is: 145,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,193.76 : 269,367.12 = 105,769.76 : x
  2. Step 2: Convert to fraction form
    195,193.76/269,367.12 = 105,769.76/x
  3. Step 3: Cross multiply
    195,193.76x = 269,367.12 × 105,769.76
  4. Step 4: Simplify right side
    195,193.76x = 28,490,895,634.29
  5. Step 5: Solve for x
    x = 28,490,895,634.29/195,193.76
  6. Step 6: Final answer
    x = 145,962.12

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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.