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Finding the Fourth Proportional to 190,633.86, 285,952.86 and 57,515.31

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Solution

The fourth proportional to 190,633.86, 285,952.86 and 57,515.31 is: 86,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,633.86 : 285,952.86 = 57,515.31 : x
  2. Step 2: Convert to fraction form
    190,633.86/285,952.86 = 57,515.31/x
  3. Step 3: Cross multiply
    190,633.86x = 285,952.86 × 57,515.31
  4. Step 4: Simplify right side
    190,633.86x = 16,446,667,388.29
  5. Step 5: Solve for x
    x = 16,446,667,388.29/190,633.86
  6. Step 6: Final answer
    x = 86,273.59

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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.