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Finding the Fourth Proportional to 150,286.40, 225,410.16 and 56,780

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Solution

The fourth proportional to 150,286.40, 225,410.16 and 56,780 is: 85,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,286.40 : 225,410.16 = 56,780 : x
  2. Step 2: Convert to fraction form
    150,286.40/225,410.16 = 56,780/x
  3. Step 3: Cross multiply
    150,286.40x = 225,410.16 × 56,780
  4. Step 4: Simplify right side
    150,286.40x = 12,798,788,884.80
  5. Step 5: Solve for x
    x = 12,798,788,884.80/150,286.40
  6. Step 6: Final answer
    x = 85,162.66

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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.