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Finding the Fourth Proportional to 190,489.72, 285,764.82 and 65,840.44

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Solution

The fourth proportional to 190,489.72, 285,764.82 and 65,840.44 is: 98,771.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,489.72 : 285,764.82 = 65,840.44 : x
  2. Step 2: Convert to fraction form
    190,489.72/285,764.82 = 65,840.44/x
  3. Step 3: Cross multiply
    190,489.72x = 285,764.82 × 65,840.44
  4. Step 4: Simplify right side
    190,489.72x = 18,814,881,485.32
  5. Step 5: Solve for x
    x = 18,814,881,485.32/190,489.72
  6. Step 6: Final answer
    x = 98,771.11

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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.