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Finding the Fourth Proportional to 150,238.54, 225,343.14 and 39,430.54

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Solution

The fourth proportional to 150,238.54, 225,343.14 and 39,430.54 is: 59,141.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,238.54 : 225,343.14 = 39,430.54 : x
  2. Step 2: Convert to fraction form
    150,238.54/225,343.14 = 39,430.54/x
  3. Step 3: Cross multiply
    150,238.54x = 225,343.14 × 39,430.54
  4. Step 4: Simplify right side
    150,238.54x = 8,885,401,695.50
  5. Step 5: Solve for x
    x = 8,885,401,695.50/150,238.54
  6. Step 6: Final answer
    x = 59,141.96

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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.