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Finding the Fourth Proportional to 128,346.50, 192,597.52 and 54,474.50

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Solution

The fourth proportional to 128,346.50, 192,597.52 and 54,474.50 is: 81,744.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,346.50 : 192,597.52 = 54,474.50 : x
  2. Step 2: Convert to fraction form
    128,346.50/192,597.52 = 54,474.50/x
  3. Step 3: Cross multiply
    128,346.50x = 192,597.52 × 54,474.50
  4. Step 4: Simplify right side
    128,346.50x = 10,491,653,603.24
  5. Step 5: Solve for x
    x = 10,491,653,603.24/128,346.50
  6. Step 6: Final answer
    x = 81,744.76

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Why These Related Problems?

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