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Finding the Fourth Proportional to 190,732, 263,215.92 and 105,856.96

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Solution

The fourth proportional to 190,732, 263,215.92 and 105,856.96 is: 146,085.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,732 : 263,215.92 = 105,856.96 : x
  2. Step 2: Convert to fraction form
    190,732/263,215.92 = 105,856.96/x
  3. Step 3: Cross multiply
    190,732x = 263,215.92 × 105,856.96
  4. Step 4: Simplify right side
    190,732x = 27,863,237,114.80
  5. Step 5: Solve for x
    x = 27,863,237,114.80/190,732
  6. Step 6: Final answer
    x = 146,085.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.