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Finding the Fourth Proportional to 147,745, 203,888.10 and 80,677

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Solution

The fourth proportional to 147,745, 203,888.10 and 80,677 is: 111,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,745 : 203,888.10 = 80,677 : x
  2. Step 2: Convert to fraction form
    147,745/203,888.10 = 80,677/x
  3. Step 3: Cross multiply
    147,745x = 203,888.10 × 80,677
  4. Step 4: Simplify right side
    147,745x = 16,449,080,243.70
  5. Step 5: Solve for x
    x = 16,449,080,243.70/147,745
  6. Step 6: Final answer
    x = 111,334.26

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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.