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Finding the Fourth Proportional to 128,220.24, 192,352.32 and 39,472

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Solution

The fourth proportional to 128,220.24, 192,352.32 and 39,472 is: 59,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,220.24 : 192,352.32 = 39,472 : x
  2. Step 2: Convert to fraction form
    128,220.24/192,352.32 = 39,472/x
  3. Step 3: Cross multiply
    128,220.24x = 192,352.32 × 39,472
  4. Step 4: Simplify right side
    128,220.24x = 7,592,530,775.04
  5. Step 5: Solve for x
    x = 7,592,530,775.04/128,220.24
  6. Step 6: Final answer
    x = 59,214.76

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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.