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Finding the Fourth Proportional to 307,520.57, 461,278.11 and 97,158.50

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Solution

The fourth proportional to 307,520.57, 461,278.11 and 97,158.50 is: 145,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,520.57 : 461,278.11 = 97,158.50 : x
  2. Step 2: Convert to fraction form
    307,520.57/461,278.11 = 97,158.50/x
  3. Step 3: Cross multiply
    307,520.57x = 461,278.11 × 97,158.50
  4. Step 4: Simplify right side
    307,520.57x = 44,817,089,250.44
  5. Step 5: Solve for x
    x = 44,817,089,250.44/307,520.57
  6. Step 6: Final answer
    x = 145,736.88

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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.