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Finding the Fourth Proportional to 206,258.40, 284,649.75 and 115,614.39

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Solution

The fourth proportional to 206,258.40, 284,649.75 and 115,614.39 is: 159,555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,258.40 : 284,649.75 = 115,614.39 : x
  2. Step 2: Convert to fraction form
    206,258.40/284,649.75 = 115,614.39/x
  3. Step 3: Cross multiply
    206,258.40x = 284,649.75 × 115,614.39
  4. Step 4: Simplify right side
    206,258.40x = 32,909,606,631.83
  5. Step 5: Solve for x
    x = 32,909,606,631.83/206,258.40
  6. Step 6: Final answer
    x = 159,555.23

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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.