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Finding the Fourth Proportional to 150,165.66, 225,314.49 and 56,649.54

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Solution

The fourth proportional to 150,165.66, 225,314.49 and 56,649.54 is: 84,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,165.66 : 225,314.49 = 56,649.54 : x
  2. Step 2: Convert to fraction form
    150,165.66/225,314.49 = 56,649.54/x
  3. Step 3: Cross multiply
    150,165.66x = 225,314.49 × 56,649.54
  4. Step 4: Simplify right side
    150,165.66x = 12,763,962,213.83
  5. Step 5: Solve for x
    x = 12,763,962,213.83/150,165.66
  6. Step 6: Final answer
    x = 84,999.21

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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.