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Finding the Fourth Proportional to 195,036, 269,155.68 and 109,001.76

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Solution

The fourth proportional to 195,036, 269,155.68 and 109,001.76 is: 150,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,036 : 269,155.68 = 109,001.76 : x
  2. Step 2: Convert to fraction form
    195,036/269,155.68 = 109,001.76/x
  3. Step 3: Cross multiply
    195,036x = 269,155.68 × 109,001.76
  4. Step 4: Simplify right side
    195,036x = 29,338,442,834.00
  5. Step 5: Solve for x
    x = 29,338,442,834.00/195,036
  6. Step 6: Final answer
    x = 150,425.78

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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.