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Finding the Fourth Proportional to 192,816.33, 289,156.74 and 57,840.15

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Solution

The fourth proportional to 192,816.33, 289,156.74 and 57,840.15 is: 86,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,816.33 : 289,156.74 = 57,840.15 : x
  2. Step 2: Convert to fraction form
    192,816.33/289,156.74 = 57,840.15/x
  3. Step 3: Cross multiply
    192,816.33x = 289,156.74 × 57,840.15
  4. Step 4: Simplify right side
    192,816.33x = 16,724,869,215.11
  5. Step 5: Solve for x
    x = 16,724,869,215.11/192,816.33
  6. Step 6: Final answer
    x = 86,739.90

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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.