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Finding the Fourth Proportional to 192,640.65, 289,019.15 and 57,709.09

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Solution

The fourth proportional to 192,640.65, 289,019.15 and 57,709.09 is: 86,581.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,640.65 : 289,019.15 = 57,709.09 : x
  2. Step 2: Convert to fraction form
    192,640.65/289,019.15 = 57,709.09/x
  3. Step 3: Cross multiply
    192,640.65x = 289,019.15 × 57,709.09
  4. Step 4: Simplify right side
    192,640.65x = 16,679,032,139.07
  5. Step 5: Solve for x
    x = 16,679,032,139.07/192,640.65
  6. Step 6: Final answer
    x = 86,581.06

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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.