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Finding the Fourth Proportional to 190,487.72, 285,761.82 and 65,838.44

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Solution

The fourth proportional to 190,487.72, 285,761.82 and 65,838.44 is: 98,768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,487.72 : 285,761.82 = 65,838.44 : x
  2. Step 2: Convert to fraction form
    190,487.72/285,761.82 = 65,838.44/x
  3. Step 3: Cross multiply
    190,487.72x = 285,761.82 × 65,838.44
  4. Step 4: Simplify right side
    190,487.72x = 18,814,112,440.36
  5. Step 5: Solve for x
    x = 18,814,112,440.36/190,487.72
  6. Step 6: Final answer
    x = 98,768.11

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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.