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Finding the Fourth Proportional to 206,638.84, 285,088.26 and 135,060.18

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Solution

The fourth proportional to 206,638.84, 285,088.26 and 135,060.18 is: 186,335.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,638.84 : 285,088.26 = 135,060.18 : x
  2. Step 2: Convert to fraction form
    206,638.84/285,088.26 = 135,060.18/x
  3. Step 3: Cross multiply
    206,638.84x = 285,088.26 × 135,060.18
  4. Step 4: Simplify right side
    206,638.84x = 38,504,071,711.49
  5. Step 5: Solve for x
    x = 38,504,071,711.49/206,638.84
  6. Step 6: Final answer
    x = 186,335.11

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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.