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Finding the Fourth Proportional to 195,285.60, 269,462.16 and 114,696

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Solution

The fourth proportional to 195,285.60, 269,462.16 and 114,696 is: 158,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,285.60 : 269,462.16 = 114,696 : x
  2. Step 2: Convert to fraction form
    195,285.60/269,462.16 = 114,696/x
  3. Step 3: Cross multiply
    195,285.60x = 269,462.16 × 114,696
  4. Step 4: Simplify right side
    195,285.60x = 30,906,231,903.36
  5. Step 5: Solve for x
    x = 30,906,231,903.36/195,285.60
  6. Step 6: Final answer
    x = 158,261.70

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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.