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Finding the Fourth Proportional to 149,792.07, 206,712 and 81,809.04

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Solution

The fourth proportional to 149,792.07, 206,712 and 81,809.04 is: 112,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,792.07 : 206,712 = 81,809.04 : x
  2. Step 2: Convert to fraction form
    149,792.07/206,712 = 81,809.04/x
  3. Step 3: Cross multiply
    149,792.07x = 206,712 × 81,809.04
  4. Step 4: Simplify right side
    149,792.07x = 16,910,910,276.48
  5. Step 5: Solve for x
    x = 16,910,910,276.48/149,792.07
  6. Step 6: Final answer
    x = 112,895.90

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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.