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Finding the Fourth Proportional to 192,752.49, 289,093.91 and 52,478.31

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Solution

The fourth proportional to 192,752.49, 289,093.91 and 52,478.31 is: 78,707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,752.49 : 289,093.91 = 52,478.31 : x
  2. Step 2: Convert to fraction form
    192,752.49/289,093.91 = 52,478.31/x
  3. Step 3: Cross multiply
    192,752.49x = 289,093.91 × 52,478.31
  4. Step 4: Simplify right side
    192,752.49x = 15,171,159,565.70
  5. Step 5: Solve for x
    x = 15,171,159,565.70/192,752.49
  6. Step 6: Final answer
    x = 78,707.98

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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.