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Finding the Fourth Proportional to 192,811.80, 289,276.78 and 86,285.40

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Solution

The fourth proportional to 192,811.80, 289,276.78 and 86,285.40 is: 129,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,811.80 : 289,276.78 = 86,285.40 : x
  2. Step 2: Convert to fraction form
    192,811.80/289,276.78 = 86,285.40/x
  3. Step 3: Cross multiply
    192,811.80x = 289,276.78 × 86,285.40
  4. Step 4: Simplify right side
    192,811.80x = 24,960,362,673.01
  5. Step 5: Solve for x
    x = 24,960,362,673.01/192,811.80
  6. Step 6: Final answer
    x = 129,454.54

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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.