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Finding the Fourth Proportional to 195,123, 269,269.82 and 105,699

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Solution

The fourth proportional to 195,123, 269,269.82 and 105,699 is: 145,864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,123 : 269,269.82 = 105,699 : x
  2. Step 2: Convert to fraction form
    195,123/269,269.82 = 105,699/x
  3. Step 3: Cross multiply
    195,123x = 269,269.82 × 105,699
  4. Step 4: Simplify right side
    195,123x = 28,461,550,704.18
  5. Step 5: Solve for x
    x = 28,461,550,704.18/195,123
  6. Step 6: Final answer
    x = 145,864.66

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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.