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Finding the Fourth Proportional to 216,164.25, 297,646.31 and 195,889.25

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Solution

The fourth proportional to 216,164.25, 297,646.31 and 195,889.25 is: 269,728.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,164.25 : 297,646.31 = 195,889.25 : x
  2. Step 2: Convert to fraction form
    216,164.25/297,646.31 = 195,889.25/x
  3. Step 3: Cross multiply
    216,164.25x = 297,646.31 × 195,889.25
  4. Step 4: Simplify right side
    216,164.25x = 58,305,711,432.66
  5. Step 5: Solve for x
    x = 58,305,711,432.66/216,164.25
  6. Step 6: Final answer
    x = 269,728.74

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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.