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Finding the Fourth Proportional to 150,052.79, 225,142.37 and 65,769.45

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Solution

The fourth proportional to 150,052.79, 225,142.37 and 65,769.45 is: 98,681.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,052.79 : 225,142.37 = 65,769.45 : x
  2. Step 2: Convert to fraction form
    150,052.79/225,142.37 = 65,769.45/x
  3. Step 3: Cross multiply
    150,052.79x = 225,142.37 × 65,769.45
  4. Step 4: Simplify right side
    150,052.79x = 14,807,489,517.75
  5. Step 5: Solve for x
    x = 14,807,489,517.75/150,052.79
  6. Step 6: Final answer
    x = 98,681.87

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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.