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Finding the Fourth Proportional to 195,193.98, 269,365.46 and 105,769.98

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Solution

The fourth proportional to 195,193.98, 269,365.46 and 105,769.98 is: 145,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,193.98 : 269,365.46 = 105,769.98 : x
  2. Step 2: Convert to fraction form
    195,193.98/269,365.46 = 105,769.98/x
  3. Step 3: Cross multiply
    195,193.98x = 269,365.46 × 105,769.98
  4. Step 4: Simplify right side
    195,193.98x = 28,490,779,316.89
  5. Step 5: Solve for x
    x = 28,490,779,316.89/195,193.98
  6. Step 6: Final answer
    x = 145,961.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.