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Finding the Fourth Proportional to 192,807.48, 289,202.70 and 52,566.12

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Solution

The fourth proportional to 192,807.48, 289,202.70 and 52,566.12 is: 78,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,807.48 : 289,202.70 = 52,566.12 : x
  2. Step 2: Convert to fraction form
    192,807.48/289,202.70 = 52,566.12/x
  3. Step 3: Cross multiply
    192,807.48x = 289,202.70 × 52,566.12
  4. Step 4: Simplify right side
    192,807.48x = 15,202,263,832.52
  5. Step 5: Solve for x
    x = 15,202,263,832.52/192,807.48
  6. Step 6: Final answer
    x = 78,846.86

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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.