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Finding the Fourth Proportional to 190,646, 285,988.44 and 65,986.64

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Solution

The fourth proportional to 190,646, 285,988.44 and 65,986.64 is: 98,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,646 : 285,988.44 = 65,986.64 : x
  2. Step 2: Convert to fraction form
    190,646/285,988.44 = 65,986.64/x
  3. Step 3: Cross multiply
    190,646x = 285,988.44 × 65,986.64
  4. Step 4: Simplify right side
    190,646x = 18,871,416,234.44
  5. Step 5: Solve for x
    x = 18,871,416,234.44/190,646
  6. Step 6: Final answer
    x = 98,986.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.