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Finding the Fourth Proportional to 206,436.36, 284,892.30 and 121,580.76

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Solution

The fourth proportional to 206,436.36, 284,892.30 and 121,580.76 is: 167,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,436.36 : 284,892.30 = 121,580.76 : x
  2. Step 2: Convert to fraction form
    206,436.36/284,892.30 = 121,580.76/x
  3. Step 3: Cross multiply
    206,436.36x = 284,892.30 × 121,580.76
  4. Step 4: Simplify right side
    206,436.36x = 34,637,422,352.15
  5. Step 5: Solve for x
    x = 34,637,422,352.15/206,436.36
  6. Step 6: Final answer
    x = 167,787.41

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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.