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Finding the Fourth Proportional to 154,039.40, 231,059.10 and 75,204.20

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Solution

The fourth proportional to 154,039.40, 231,059.10 and 75,204.20 is: 112,806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,039.40 : 231,059.10 = 75,204.20 : x
  2. Step 2: Convert to fraction form
    154,039.40/231,059.10 = 75,204.20/x
  3. Step 3: Cross multiply
    154,039.40x = 231,059.10 × 75,204.20
  4. Step 4: Simplify right side
    154,039.40x = 17,376,614,768.22
  5. Step 5: Solve for x
    x = 17,376,614,768.22/154,039.40
  6. Step 6: Final answer
    x = 112,806.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.