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Finding the Fourth Proportional to 103,219.20, 154,828.80 and 56,563.20

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Solution

The fourth proportional to 103,219.20, 154,828.80 and 56,563.20 is: 84,844.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,219.20 : 154,828.80 = 56,563.20 : x
  2. Step 2: Convert to fraction form
    103,219.20/154,828.80 = 56,563.20/x
  3. Step 3: Cross multiply
    103,219.20x = 154,828.80 × 56,563.20
  4. Step 4: Simplify right side
    103,219.20x = 8,757,612,380.16
  5. Step 5: Solve for x
    x = 8,757,612,380.16/103,219.20
  6. Step 6: Final answer
    x = 84,844.80

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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.