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Finding the Fourth Proportional to 152,591.40, 228,822.30 and 73,729.80

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Solution

The fourth proportional to 152,591.40, 228,822.30 and 73,729.80 is: 110,563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,591.40 : 228,822.30 = 73,729.80 : x
  2. Step 2: Convert to fraction form
    152,591.40/228,822.30 = 73,729.80/x
  3. Step 3: Cross multiply
    152,591.40x = 228,822.30 × 73,729.80
  4. Step 4: Simplify right side
    152,591.40x = 16,871,022,414.54
  5. Step 5: Solve for x
    x = 16,871,022,414.54/152,591.40
  6. Step 6: Final answer
    x = 110,563.39

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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.